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Finding the Third Proportional to 34,006,329.35 and 72,864,108.14

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Solution

The third proportional to 34,006,329.35 and 72,864,108.14 is: 156,123,238.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,006,329.35 : 72,864,108.14 = 72,864,108.14 : x
  2. Step 2: Convert to fraction form
    34,006,329.35/72,864,108.14 = 72,864,108.14/x
  3. Step 3: Cross multiply
    34,006,329.35x = 72,864,108.14 × 72,864,108.14
  4. Step 4: Simplify right side
    34,006,329.35x = 5,309,178,255,128,694
  5. Step 5: Solve for x
    x = 5,309,178,255,128,694/34,006,329.35
  6. Step 6: Final answer
    x = 156,123,238.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.