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Finding the Third Proportional to 32,953,986 and 71,766,432

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Solution

The third proportional to 32,953,986 and 71,766,432 is: 156,291,283.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,953,986 : 71,766,432 = 71,766,432 : x
  2. Step 2: Convert to fraction form
    32,953,986/71,766,432 = 71,766,432/x
  3. Step 3: Cross multiply
    32,953,986x = 71,766,432 × 71,766,432
  4. Step 4: Simplify right side
    32,953,986x = 5,150,420,762,010,624
  5. Step 5: Solve for x
    x = 5,150,420,762,010,624/32,953,986
  6. Step 6: Final answer
    x = 156,291,283.31

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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.