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Finding the Third Proportional to 1,071,154,125 and 1,654,485,841.13

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Solution

The third proportional to 1,071,154,125 and 1,654,485,841.13 is: 2,555,489,760.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,154,125 : 1,654,485,841.13 = 1,654,485,841.13 : x
  2. Step 2: Convert to fraction form
    1,071,154,125/1,654,485,841.13 = 1,654,485,841.13/x
  3. Step 3: Cross multiply
    1,071,154,125x = 1,654,485,841.13 × 1,654,485,841.13
  4. Step 4: Simplify right side
    1,071,154,125x = 2,737,323,398,483,098,624
  5. Step 5: Solve for x
    x = 2,737,323,398,483,098,624/1,071,154,125
  6. Step 6: Final answer
    x = 2,555,489,760.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.