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Finding the Third Proportional to 841,244,130.75 and 1,947,327,841.13

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Solution

The third proportional to 841,244,130.75 and 1,947,327,841.13 is: 4,507,711,355.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,244,130.75 : 1,947,327,841.13 = 1,947,327,841.13 : x
  2. Step 2: Convert to fraction form
    841,244,130.75/1,947,327,841.13 = 1,947,327,841.13/x
  3. Step 3: Cross multiply
    841,244,130.75x = 1,947,327,841.13 × 1,947,327,841.13
  4. Step 4: Simplify right side
    841,244,130.75x = 3,792,085,720,820,553,216
  5. Step 5: Solve for x
    x = 3,792,085,720,820,553,216/841,244,130.75
  6. Step 6: Final answer
    x = 4,507,711,355.37

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.