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Finding the Third Proportional to 36,361,569 and 78,491,931

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Solution

The third proportional to 36,361,569 and 78,491,931 is: 169,436,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,361,569 : 78,491,931 = 78,491,931 : x
  2. Step 2: Convert to fraction form
    36,361,569/78,491,931 = 78,491,931/x
  3. Step 3: Cross multiply
    36,361,569x = 78,491,931 × 78,491,931
  4. Step 4: Simplify right side
    36,361,569x = 6,160,983,232,108,761
  5. Step 5: Solve for x
    x = 6,160,983,232,108,761/36,361,569
  6. Step 6: Final answer
    x = 169,436,671.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.