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Finding the Third Proportional to 11,418,327 and 17,700,211.13

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Solution

The third proportional to 11,418,327 and 17,700,211.13 is: 27,438,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,418,327 : 17,700,211.13 = 17,700,211.13 : x
  2. Step 2: Convert to fraction form
    11,418,327/17,700,211.13 = 17,700,211.13/x
  3. Step 3: Cross multiply
    11,418,327x = 17,700,211.13 × 17,700,211.13
  4. Step 4: Simplify right side
    11,418,327x = 313,297,473,869,573.75
  5. Step 5: Solve for x
    x = 313,297,473,869,573.75/11,418,327
  6. Step 6: Final answer
    x = 27,438,124.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.