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Finding the Third Proportional to 15,031,669.50 and 32,189,103

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Solution

The third proportional to 15,031,669.50 and 32,189,103 is: 68,930,357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,031,669.50 : 32,189,103 = 32,189,103 : x
  2. Step 2: Convert to fraction form
    15,031,669.50/32,189,103 = 32,189,103/x
  3. Step 3: Cross multiply
    15,031,669.50x = 32,189,103 × 32,189,103
  4. Step 4: Simplify right side
    15,031,669.50x = 1,036,138,351,944,609
  5. Step 5: Solve for x
    x = 1,036,138,351,944,609/15,031,669.50
  6. Step 6: Final answer
    x = 68,930,357.47

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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.