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Finding the Third Proportional to 516,644,761.50 and 797,810,803.50

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Solution

The third proportional to 516,644,761.50 and 797,810,803.50 is: 1,231,991,739.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,644,761.50 : 797,810,803.50 = 797,810,803.50 : x
  2. Step 2: Convert to fraction form
    516,644,761.50/797,810,803.50 = 797,810,803.50/x
  3. Step 3: Cross multiply
    516,644,761.50x = 797,810,803.50 × 797,810,803.50
  4. Step 4: Simplify right side
    516,644,761.50x = 636,502,078,181,315,584
  5. Step 5: Solve for x
    x = 636,502,078,181,315,584/516,644,761.50
  6. Step 6: Final answer
    x = 1,231,991,739.03

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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.