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Finding the Third Proportional to 31,115,036.25 and 67,215,447

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Solution

The third proportional to 31,115,036.25 and 67,215,447 is: 145,200,419.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,115,036.25 : 67,215,447 = 67,215,447 : x
  2. Step 2: Convert to fraction form
    31,115,036.25/67,215,447 = 67,215,447/x
  3. Step 3: Cross multiply
    31,115,036.25x = 67,215,447 × 67,215,447
  4. Step 4: Simplify right side
    31,115,036.25x = 4,517,916,315,409,809
  5. Step 5: Solve for x
    x = 4,517,916,315,409,809/31,115,036.25
  6. Step 6: Final answer
    x = 145,200,419.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.