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Finding the Third Proportional to 10,432,231 and 22,407,025

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Solution

The third proportional to 10,432,231 and 22,407,025 is: 48,127,267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432,231 : 22,407,025 = 22,407,025 : x
  2. Step 2: Convert to fraction form
    10,432,231/22,407,025 = 22,407,025/x
  3. Step 3: Cross multiply
    10,432,231x = 22,407,025 × 22,407,025
  4. Step 4: Simplify right side
    10,432,231x = 502,074,769,350,625
  5. Step 5: Solve for x
    x = 502,074,769,350,625/10,432,231
  6. Step 6: Final answer
    x = 48,127,267.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.