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Finding the Third Proportional to 57,468,697 and 86,118,980

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Solution

The third proportional to 57,468,697 and 86,118,980 is: 129,052,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,468,697 : 86,118,980 = 86,118,980 : x
  2. Step 2: Convert to fraction form
    57,468,697/86,118,980 = 86,118,980/x
  3. Step 3: Cross multiply
    57,468,697x = 86,118,980 × 86,118,980
  4. Step 4: Simplify right side
    57,468,697x = 7,416,478,716,240,400
  5. Step 5: Solve for x
    x = 7,416,478,716,240,400/57,468,697
  6. Step 6: Final answer
    x = 129,052,494.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.