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Finding the Third Proportional to 747,772,569 and 1,730,958,102

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Solution

The third proportional to 747,772,569 and 1,730,958,102 is: 4,006,854,590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,772,569 : 1,730,958,102 = 1,730,958,102 : x
  2. Step 2: Convert to fraction form
    747,772,569/1,730,958,102 = 1,730,958,102/x
  3. Step 3: Cross multiply
    747,772,569x = 1,730,958,102 × 1,730,958,102
  4. Step 4: Simplify right side
    747,772,569x = 2,996,215,950,879,442,432
  5. Step 5: Solve for x
    x = 2,996,215,950,879,442,432/747,772,569
  6. Step 6: Final answer
    x = 4,006,854,590.68

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.