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Finding the Third Proportional to 31,750,062.75 and 67,315,239

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Solution

The third proportional to 31,750,062.75 and 67,315,239 is: 142,719,132.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,750,062.75 : 67,315,239 = 67,315,239 : x
  2. Step 2: Convert to fraction form
    31,750,062.75/67,315,239 = 67,315,239/x
  3. Step 3: Cross multiply
    31,750,062.75x = 67,315,239 × 67,315,239
  4. Step 4: Simplify right side
    31,750,062.75x = 4,531,341,401,627,121
  5. Step 5: Solve for x
    x = 4,531,341,401,627,121/31,750,062.75
  6. Step 6: Final answer
    x = 142,719,132.16

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.