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Finding the Third Proportional to 34,429,200.75 and 72,744,156

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Solution

The third proportional to 34,429,200.75 and 72,744,156 is: 153,698,375.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,429,200.75 : 72,744,156 = 72,744,156 : x
  2. Step 2: Convert to fraction form
    34,429,200.75/72,744,156 = 72,744,156/x
  3. Step 3: Cross multiply
    34,429,200.75x = 72,744,156 × 72,744,156
  4. Step 4: Simplify right side
    34,429,200.75x = 5,291,712,232,152,336
  5. Step 5: Solve for x
    x = 5,291,712,232,152,336/34,429,200.75
  6. Step 6: Final answer
    x = 153,698,375.71

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.