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Finding the Third Proportional to 11,144,087.16 and 24,266,578.64

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Solution

The third proportional to 11,144,087.16 and 24,266,578.64 is: 52,841,191.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144,087.16 : 24,266,578.64 = 24,266,578.64 : x
  2. Step 2: Convert to fraction form
    11,144,087.16/24,266,578.64 = 24,266,578.64/x
  3. Step 3: Cross multiply
    11,144,087.16x = 24,266,578.64 × 24,266,578.64
  4. Step 4: Simplify right side
    11,144,087.16x = 588,866,838,921,637.50
  5. Step 5: Solve for x
    x = 588,866,838,921,637.50/11,144,087.16
  6. Step 6: Final answer
    x = 52,841,191.09

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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.