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Finding the Third Proportional to 31,901,752.13 and 68,342,896.13

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Solution

The third proportional to 31,901,752.13 and 68,342,896.13 is: 146,410,499.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,901,752.13 : 68,342,896.13 = 68,342,896.13 : x
  2. Step 2: Convert to fraction form
    31,901,752.13/68,342,896.13 = 68,342,896.13/x
  3. Step 3: Cross multiply
    31,901,752.13x = 68,342,896.13 × 68,342,896.13
  4. Step 4: Simplify right side
    31,901,752.13x = 4,670,751,450,752,540
  5. Step 5: Solve for x
    x = 4,670,751,450,752,540/31,901,752.13
  6. Step 6: Final answer
    x = 146,410,499.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.