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Finding the Third Proportional to 5,776,470 and 12,516,170

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Solution

The third proportional to 5,776,470 and 12,516,170 is: 27,119,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776,470 : 12,516,170 = 12,516,170 : x
  2. Step 2: Convert to fraction form
    5,776,470/12,516,170 = 12,516,170/x
  3. Step 3: Cross multiply
    5,776,470x = 12,516,170 × 12,516,170
  4. Step 4: Simplify right side
    5,776,470x = 156,654,511,468,900
  5. Step 5: Solve for x
    x = 156,654,511,468,900/5,776,470
  6. Step 6: Final answer
    x = 27,119,419.21

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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.