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Finding the Third Proportional to 10,067,906 and 15,102,915

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Solution

The third proportional to 10,067,906 and 15,102,915 is: 22,655,956.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,067,906 : 15,102,915 = 15,102,915 : x
  2. Step 2: Convert to fraction form
    10,067,906/15,102,915 = 15,102,915/x
  3. Step 3: Cross multiply
    10,067,906x = 15,102,915 × 15,102,915
  4. Step 4: Simplify right side
    10,067,906x = 228,098,041,497,225
  5. Step 5: Solve for x
    x = 228,098,041,497,225/10,067,906
  6. Step 6: Final answer
    x = 22,655,956.61

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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.