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Finding the Third Proportional to 36,373,398.05 and 78,800,947.45

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Solution

The third proportional to 36,373,398.05 and 78,800,947.45 is: 170,717,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,373,398.05 : 78,800,947.45 = 78,800,947.45 : x
  2. Step 2: Convert to fraction form
    36,373,398.05/78,800,947.45 = 78,800,947.45/x
  3. Step 3: Cross multiply
    36,373,398.05x = 78,800,947.45 × 78,800,947.45
  4. Step 4: Simplify right side
    36,373,398.05x = 6,209,589,319,510,167
  5. Step 5: Solve for x
    x = 6,209,589,319,510,167/36,373,398.05
  6. Step 6: Final answer
    x = 170,717,877.71

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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.