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Finding the Third Proportional to 2,910,847,848 and 6,331,706,348

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Solution

The third proportional to 2,910,847,848 and 6,331,706,348 is: 13,772,793,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910,847,848 : 6,331,706,348 = 6,331,706,348 : x
  2. Step 2: Convert to fraction form
    2,910,847,848/6,331,706,348 = 6,331,706,348/x
  3. Step 3: Cross multiply
    2,910,847,848x = 6,331,706,348 × 6,331,706,348
  4. Step 4: Simplify right side
    2,910,847,848x = 40,090,505,277,303,496,704
  5. Step 5: Solve for x
    x = 40,090,505,277,303,496,704/2,910,847,848
  6. Step 6: Final answer
    x = 13,772,793,141.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.