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Finding the Third Proportional to 41,013,489.38 and 89,068,404.38

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Solution

The third proportional to 41,013,489.38 and 89,068,404.38 is: 193,428,571.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,013,489.38 : 89,068,404.38 = 89,068,404.38 : x
  2. Step 2: Convert to fraction form
    41,013,489.38/89,068,404.38 = 89,068,404.38/x
  3. Step 3: Cross multiply
    41,013,489.38x = 89,068,404.38 × 89,068,404.38
  4. Step 4: Simplify right side
    41,013,489.38x = 7,933,180,657,908,519
  5. Step 5: Solve for x
    x = 7,933,180,657,908,519/41,013,489.38
  6. Step 6: Final answer
    x = 193,428,571.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.