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Finding the Third Proportional to 10,443,366 and 15,965,214

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Solution

The third proportional to 10,443,366 and 15,965,214 is: 24,406,695.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443,366 : 15,965,214 = 15,965,214 : x
  2. Step 2: Convert to fraction form
    10,443,366/15,965,214 = 15,965,214/x
  3. Step 3: Cross multiply
    10,443,366x = 15,965,214 × 15,965,214
  4. Step 4: Simplify right side
    10,443,366x = 254,888,058,065,796
  5. Step 5: Solve for x
    x = 254,888,058,065,796/10,443,366
  6. Step 6: Final answer
    x = 24,406,695.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.