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Finding the Third Proportional to 516,644,764 and 797,810,807

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Solution

The third proportional to 516,644,764 and 797,810,807 is: 1,231,991,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,644,764 : 797,810,807 = 797,810,807 : x
  2. Step 2: Convert to fraction form
    516,644,764/797,810,807 = 797,810,807/x
  3. Step 3: Cross multiply
    516,644,764x = 797,810,807 × 797,810,807
  4. Step 4: Simplify right side
    516,644,764x = 636,502,083,765,991,296
  5. Step 5: Solve for x
    x = 636,502,083,765,991,296/516,644,764
  6. Step 6: Final answer
    x = 1,231,991,743.88

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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.