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Finding the Third Proportional to 5,109,924 and 11,127,048

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Solution

The third proportional to 5,109,924 and 11,127,048 is: 24,229,557.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109,924 : 11,127,048 = 11,127,048 : x
  2. Step 2: Convert to fraction form
    5,109,924/11,127,048 = 11,127,048/x
  3. Step 3: Cross multiply
    5,109,924x = 11,127,048 × 11,127,048
  4. Step 4: Simplify right side
    5,109,924x = 123,811,197,194,304
  5. Step 5: Solve for x
    x = 123,811,197,194,304/5,109,924
  6. Step 6: Final answer
    x = 24,229,557.46

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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.