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Finding the Third Proportional to 10,034,406 and 15,074,217

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Solution

The third proportional to 10,034,406 and 15,074,217 is: 22,645,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034,406 : 15,074,217 = 15,074,217 : x
  2. Step 2: Convert to fraction form
    10,034,406/15,074,217 = 15,074,217/x
  3. Step 3: Cross multiply
    10,034,406x = 15,074,217 × 15,074,217
  4. Step 4: Simplify right side
    10,034,406x = 227,232,018,163,089
  5. Step 5: Solve for x
    x = 227,232,018,163,089/10,034,406
  6. Step 6: Final answer
    x = 22,645,288.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.