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Finding the Third Proportional to 36,008,704 and 78,847,408

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Solution

The third proportional to 36,008,704 and 78,847,408 is: 172,650,305.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,008,704 : 78,847,408 = 78,847,408 : x
  2. Step 2: Convert to fraction form
    36,008,704/78,847,408 = 78,847,408/x
  3. Step 3: Cross multiply
    36,008,704x = 78,847,408 × 78,847,408
  4. Step 4: Simplify right side
    36,008,704x = 6,216,913,748,318,464
  5. Step 5: Solve for x
    x = 6,216,913,748,318,464/36,008,704
  6. Step 6: Final answer
    x = 172,650,305.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.