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Finding the Third Proportional to 12,787,460 and 27,398,876

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Solution

The third proportional to 12,787,460 and 27,398,876 is: 58,705,826.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787,460 : 27,398,876 = 27,398,876 : x
  2. Step 2: Convert to fraction form
    12,787,460/27,398,876 = 27,398,876/x
  3. Step 3: Cross multiply
    12,787,460x = 27,398,876 × 27,398,876
  4. Step 4: Simplify right side
    12,787,460x = 750,698,406,063,376
  5. Step 5: Solve for x
    x = 750,698,406,063,376/12,787,460
  6. Step 6: Final answer
    x = 58,705,826.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.