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Finding the Third Proportional to 31,034,572 and 67,441,010

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Solution

The third proportional to 31,034,572 and 67,441,010 is: 146,555,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,034,572 : 67,441,010 = 67,441,010 : x
  2. Step 2: Convert to fraction form
    31,034,572/67,441,010 = 67,441,010/x
  3. Step 3: Cross multiply
    31,034,572x = 67,441,010 × 67,441,010
  4. Step 4: Simplify right side
    31,034,572x = 4,548,289,829,820,100
  5. Step 5: Solve for x
    x = 4,548,289,829,820,100/31,034,572
  6. Step 6: Final answer
    x = 146,555,584.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.