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Finding the Third Proportional to 654,722,632 and 1,418,420,072

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Solution

The third proportional to 654,722,632 and 1,418,420,072 is: 3,072,927,988.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,722,632 : 1,418,420,072 = 1,418,420,072 : x
  2. Step 2: Convert to fraction form
    654,722,632/1,418,420,072 = 1,418,420,072/x
  3. Step 3: Cross multiply
    654,722,632x = 1,418,420,072 × 1,418,420,072
  4. Step 4: Simplify right side
    654,722,632x = 2,011,915,500,652,485,120
  5. Step 5: Solve for x
    x = 2,011,915,500,652,485,120/654,722,632
  6. Step 6: Final answer
    x = 3,072,927,988.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.