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Finding the Third Proportional to 17,500,178.25 and 27,390,099.38

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Solution

The third proportional to 17,500,178.25 and 27,390,099.38 is: 42,869,137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,500,178.25 : 27,390,099.38 = 27,390,099.38 : x
  2. Step 2: Convert to fraction form
    17,500,178.25/27,390,099.38 = 27,390,099.38/x
  3. Step 3: Cross multiply
    17,500,178.25x = 27,390,099.38 × 27,390,099.38
  4. Step 4: Simplify right side
    17,500,178.25x = 750,217,543,772,375.38
  5. Step 5: Solve for x
    x = 750,217,543,772,375.38/17,500,178.25
  6. Step 6: Final answer
    x = 42,869,137.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.