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Finding the Third Proportional to 57,468,701 and 86,118,986

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Solution

The third proportional to 57,468,701 and 86,118,986 is: 129,052,503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,468,701 : 86,118,986 = 86,118,986 : x
  2. Step 2: Convert to fraction form
    57,468,701/86,118,986 = 86,118,986/x
  3. Step 3: Cross multiply
    57,468,701x = 86,118,986 × 86,118,986
  4. Step 4: Simplify right side
    57,468,701x = 7,416,479,749,668,196
  5. Step 5: Solve for x
    x = 7,416,479,749,668,196/57,468,701
  6. Step 6: Final answer
    x = 129,052,503.72

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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.