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Finding the Third Proportional to 32,648,514 and 71,175,684

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Solution

The third proportional to 32,648,514 and 71,175,684 is: 155,167,184.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,648,514 : 71,175,684 = 71,175,684 : x
  2. Step 2: Convert to fraction form
    32,648,514/71,175,684 = 71,175,684/x
  3. Step 3: Cross multiply
    32,648,514x = 71,175,684 × 71,175,684
  4. Step 4: Simplify right side
    32,648,514x = 5,065,977,992,867,856
  5. Step 5: Solve for x
    x = 5,065,977,992,867,856/32,648,514
  6. Step 6: Final answer
    x = 155,167,184.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.