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Finding the Third Proportional to 424,729,716 and 1,001,206,005

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Solution

The third proportional to 424,729,716 and 1,001,206,005 is: 2,360,120,864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,729,716 : 1,001,206,005 = 1,001,206,005 : x
  2. Step 2: Convert to fraction form
    424,729,716/1,001,206,005 = 1,001,206,005/x
  3. Step 3: Cross multiply
    424,729,716x = 1,001,206,005 × 1,001,206,005
  4. Step 4: Simplify right side
    424,729,716x = 1,002,413,464,448,060,032
  5. Step 5: Solve for x
    x = 1,002,413,464,448,060,032/424,729,716
  6. Step 6: Final answer
    x = 2,360,120,864.37

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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.