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Finding the Third Proportional to 10,302,029 and 22,397,677

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Solution

The third proportional to 10,302,029 and 22,397,677 is: 48,694,867.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302,029 : 22,397,677 = 22,397,677 : x
  2. Step 2: Convert to fraction form
    10,302,029/22,397,677 = 22,397,677/x
  3. Step 3: Cross multiply
    10,302,029x = 22,397,677 × 22,397,677
  4. Step 4: Simplify right side
    10,302,029x = 501,655,934,996,329
  5. Step 5: Solve for x
    x = 501,655,934,996,329/10,302,029
  6. Step 6: Final answer
    x = 48,694,867.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.