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Finding the Third Proportional to 5,109,934 and 11,127,068

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Solution

The third proportional to 5,109,934 and 11,127,068 is: 24,229,597.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109,934 : 11,127,068 = 11,127,068 : x
  2. Step 2: Convert to fraction form
    5,109,934/11,127,068 = 11,127,068/x
  3. Step 3: Cross multiply
    5,109,934x = 11,127,068 × 11,127,068
  4. Step 4: Simplify right side
    5,109,934x = 123,811,642,276,624
  5. Step 5: Solve for x
    x = 123,811,642,276,624/5,109,934
  6. Step 6: Final answer
    x = 24,229,597.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.