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Finding the Third Proportional to 39,461,994,090 and 92,081,168,310

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Solution

The third proportional to 39,461,994,090 and 92,081,168,310 is: 214,863,484,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,461,994,090 : 92,081,168,310 = 92,081,168,310 : x
  2. Step 2: Convert to fraction form
    39,461,994,090/92,081,168,310 = 92,081,168,310/x
  3. Step 3: Cross multiply
    39,461,994,090x = 92,081,168,310 × 92,081,168,310
  4. Step 4: Simplify right side
    39,461,994,090x = 8,478,941,557,334,548,152,320
  5. Step 5: Solve for x
    x = 8,478,941,557,334,548,152,320/39,461,994,090
  6. Step 6: Final answer
    x = 214,863,484,546.60

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.