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Finding the Third Proportional to 32,382,024.75 and 70,144,893

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Solution

The third proportional to 32,382,024.75 and 70,144,893 is: 151,945,594.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,382,024.75 : 70,144,893 = 70,144,893 : x
  2. Step 2: Convert to fraction form
    32,382,024.75/70,144,893 = 70,144,893/x
  3. Step 3: Cross multiply
    32,382,024.75x = 70,144,893 × 70,144,893
  4. Step 4: Simplify right side
    32,382,024.75x = 4,920,306,013,981,449
  5. Step 5: Solve for x
    x = 4,920,306,013,981,449/32,382,024.75
  6. Step 6: Final answer
    x = 151,945,594.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.