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Finding the Third Proportional to 38,435,914,808,474 and 84,214,911,247,844

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Solution

The third proportional to 38,435,914,808,474 and 84,214,911,247,844 is: 184,518,862,418,714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,435,914,808,474 : 84,214,911,247,844 = 84,214,911,247,844 : x
  2. Step 2: Convert to fraction form
    38,435,914,808,474/84,214,911,247,844 = 84,214,911,247,844/x
  3. Step 3: Cross multiply
    38,435,914,808,474x = 84,214,911,247,844 × 84,214,911,247,844
  4. Step 4: Simplify right side
    38,435,914,808,474x = 7,092,151,276,482,241,990,370,525,184
  5. Step 5: Solve for x
    x = 7,092,151,276,482,241,990,370,525,184/38,435,914,808,474
  6. Step 6: Final answer
    x = 184,518,862,418,714.41

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.