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Finding the Third Proportional to 31,001,292 and 66,741,262.50

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Solution

The third proportional to 31,001,292 and 66,741,262.50 is: 143,684,209.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,001,292 : 66,741,262.50 = 66,741,262.50 : x
  2. Step 2: Convert to fraction form
    31,001,292/66,741,262.50 = 66,741,262.50/x
  3. Step 3: Cross multiply
    31,001,292x = 66,741,262.50 × 66,741,262.50
  4. Step 4: Simplify right side
    31,001,292x = 4,454,396,120,093,906
  5. Step 5: Solve for x
    x = 4,454,396,120,093,906/31,001,292
  6. Step 6: Final answer
    x = 143,684,209.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.