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Finding the Third Proportional to 36,086,676 and 52,139,013.75

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Solution

The third proportional to 36,086,676 and 52,139,013.75 is: 75,331,869.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,086,676 : 52,139,013.75 = 52,139,013.75 : x
  2. Step 2: Convert to fraction form
    36,086,676/52,139,013.75 = 52,139,013.75/x
  3. Step 3: Cross multiply
    36,086,676x = 52,139,013.75 × 52,139,013.75
  4. Step 4: Simplify right side
    36,086,676x = 2,718,476,754,822,689
  5. Step 5: Solve for x
    x = 2,718,476,754,822,689/36,086,676
  6. Step 6: Final answer
    x = 75,331,869.16

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.