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Finding the Third Proportional to 15,340,884,998 and 35,843,229,448

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Solution

The third proportional to 15,340,884,998 and 35,843,229,448 is: 83,745,957,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,340,884,998 : 35,843,229,448 = 35,843,229,448 : x
  2. Step 2: Convert to fraction form
    15,340,884,998/35,843,229,448 = 35,843,229,448/x
  3. Step 3: Cross multiply
    15,340,884,998x = 35,843,229,448 × 35,843,229,448
  4. Step 4: Simplify right side
    15,340,884,998x = 1,284,737,097,261,974,290,432
  5. Step 5: Solve for x
    x = 1,284,737,097,261,974,290,432/15,340,884,998
  6. Step 6: Final answer
    x = 83,745,957,122.39

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.