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Finding the Third Proportional to 10,299,478 and 15,581,751

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Solution

The third proportional to 10,299,478 and 15,581,751 is: 23,573,132.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299,478 : 15,581,751 = 15,581,751 : x
  2. Step 2: Convert to fraction form
    10,299,478/15,581,751 = 15,581,751/x
  3. Step 3: Cross multiply
    10,299,478x = 15,581,751 × 15,581,751
  4. Step 4: Simplify right side
    10,299,478x = 242,790,964,226,001
  5. Step 5: Solve for x
    x = 242,790,964,226,001/10,299,478
  6. Step 6: Final answer
    x = 23,573,132.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.