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Finding the Third Proportional to 326,016,854 and 487,732,755

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Solution

The third proportional to 326,016,854 and 487,732,755 is: 729,665,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,016,854 : 487,732,755 = 487,732,755 : x
  2. Step 2: Convert to fraction form
    326,016,854/487,732,755 = 487,732,755/x
  3. Step 3: Cross multiply
    326,016,854x = 487,732,755 × 487,732,755
  4. Step 4: Simplify right side
    326,016,854x = 237,883,240,299,890,016
  5. Step 5: Solve for x
    x = 237,883,240,299,890,016/326,016,854
  6. Step 6: Final answer
    x = 729,665,467.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.