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Finding the Third Proportional to 474,929,649 and 726,518,605.50

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Solution

The third proportional to 474,929,649 and 726,518,605.50 is: 1,111,384,149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,929,649 : 726,518,605.50 = 726,518,605.50 : x
  2. Step 2: Convert to fraction form
    474,929,649/726,518,605.50 = 726,518,605.50/x
  3. Step 3: Cross multiply
    474,929,649x = 726,518,605.50 × 726,518,605.50
  4. Step 4: Simplify right side
    474,929,649x = 527,829,284,137,664,640
  5. Step 5: Solve for x
    x = 527,829,284,137,664,640/474,929,649
  6. Step 6: Final answer
    x = 1,111,384,149.73

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.