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Finding the Third Proportional to 31,115,012.63 and 67,215,403.13

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Solution

The third proportional to 31,115,012.63 and 67,215,403.13 is: 145,200,340.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,115,012.63 : 67,215,403.13 = 67,215,403.13 : x
  2. Step 2: Convert to fraction form
    31,115,012.63/67,215,403.13 = 67,215,403.13/x
  3. Step 3: Cross multiply
    31,115,012.63x = 67,215,403.13 × 67,215,403.13
  4. Step 4: Simplify right side
    31,115,012.63x = 4,517,910,417,256,260
  5. Step 5: Solve for x
    x = 4,517,910,417,256,260/31,115,012.63
  6. Step 6: Final answer
    x = 145,200,340.16

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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.