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Finding the Third Proportional to 30,454,375.50 and 65,762,649

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Solution

The third proportional to 30,454,375.50 and 65,762,649 is: 142,006,720.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,454,375.50 : 65,762,649 = 65,762,649 : x
  2. Step 2: Convert to fraction form
    30,454,375.50/65,762,649 = 65,762,649/x
  3. Step 3: Cross multiply
    30,454,375.50x = 65,762,649 × 65,762,649
  4. Step 4: Simplify right side
    30,454,375.50x = 4,324,726,003,497,201
  5. Step 5: Solve for x
    x = 4,324,726,003,497,201/30,454,375.50
  6. Step 6: Final answer
    x = 142,006,720.96

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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.