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Finding the Third Proportional to 10,432,293 and 22,407,147

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Solution

The third proportional to 10,432,293 and 22,407,147 is: 48,127,505.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432,293 : 22,407,147 = 22,407,147 : x
  2. Step 2: Convert to fraction form
    10,432,293/22,407,147 = 22,407,147/x
  3. Step 3: Cross multiply
    10,432,293x = 22,407,147 × 22,407,147
  4. Step 4: Simplify right side
    10,432,293x = 502,080,236,679,609
  5. Step 5: Solve for x
    x = 502,080,236,679,609/10,432,293
  6. Step 6: Final answer
    x = 48,127,505.30

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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.