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Finding the Third Proportional to 36,798,734 and 80,281,568

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Solution

The third proportional to 36,798,734 and 80,281,568 is: 175,145,431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,798,734 : 80,281,568 = 80,281,568 : x
  2. Step 2: Convert to fraction form
    36,798,734/80,281,568 = 80,281,568/x
  3. Step 3: Cross multiply
    36,798,734x = 80,281,568 × 80,281,568
  4. Step 4: Simplify right side
    36,798,734x = 6,445,130,160,538,624
  5. Step 5: Solve for x
    x = 6,445,130,160,538,624/36,798,734
  6. Step 6: Final answer
    x = 175,145,431.92

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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.