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Finding the Third Proportional to 424,729,659 and 1,001,205,896.25

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Solution

The third proportional to 424,729,659 and 1,001,205,896.25 is: 2,360,120,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,729,659 : 1,001,205,896.25 = 1,001,205,896.25 : x
  2. Step 2: Convert to fraction form
    424,729,659/1,001,205,896.25 = 1,001,205,896.25/x
  3. Step 3: Cross multiply
    424,729,659x = 1,001,205,896.25 × 1,001,205,896.25
  4. Step 4: Simplify right side
    424,729,659x = 1,002,413,246,685,765,760
  5. Step 5: Solve for x
    x = 1,002,413,246,685,765,760/424,729,659
  6. Step 6: Final answer
    x = 2,360,120,668.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.