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Finding the Third Proportional to 31,433,151.75 and 68,709,846

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Solution

The third proportional to 31,433,151.75 and 68,709,846 is: 150,193,113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,433,151.75 : 68,709,846 = 68,709,846 : x
  2. Step 2: Convert to fraction form
    31,433,151.75/68,709,846 = 68,709,846/x
  3. Step 3: Cross multiply
    31,433,151.75x = 68,709,846 × 68,709,846
  4. Step 4: Simplify right side
    31,433,151.75x = 4,721,042,937,343,716
  5. Step 5: Solve for x
    x = 4,721,042,937,343,716/31,433,151.75
  6. Step 6: Final answer
    x = 150,193,113.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.