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Finding the Third Proportional to 31,145,987.25 and 67,084,380

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Solution

The third proportional to 31,145,987.25 and 67,084,380 is: 144,490,974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,145,987.25 : 67,084,380 = 67,084,380 : x
  2. Step 2: Convert to fraction form
    31,145,987.25/67,084,380 = 67,084,380/x
  3. Step 3: Cross multiply
    31,145,987.25x = 67,084,380 × 67,084,380
  4. Step 4: Simplify right side
    31,145,987.25x = 4,500,314,039,984,400
  5. Step 5: Solve for x
    x = 4,500,314,039,984,400/31,145,987.25
  6. Step 6: Final answer
    x = 144,490,974.19

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