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Finding the Third Proportional to 10,443,374 and 15,965,226

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Solution

The third proportional to 10,443,374 and 15,965,226 is: 24,406,713.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443,374 : 15,965,226 = 15,965,226 : x
  2. Step 2: Convert to fraction form
    10,443,374/15,965,226 = 15,965,226/x
  3. Step 3: Cross multiply
    10,443,374x = 15,965,226 × 15,965,226
  4. Step 4: Simplify right side
    10,443,374x = 254,888,441,231,076
  5. Step 5: Solve for x
    x = 254,888,441,231,076/10,443,374
  6. Step 6: Final answer
    x = 24,406,713.89

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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.