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Finding the Third Proportional to 31,772,253.80 and 49,096,209.80

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Solution

The third proportional to 31,772,253.80 and 49,096,209.80 is: 75,866,126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772,253.80 : 49,096,209.80 = 49,096,209.80 : x
  2. Step 2: Convert to fraction form
    31,772,253.80/49,096,209.80 = 49,096,209.80/x
  3. Step 3: Cross multiply
    31,772,253.80x = 49,096,209.80 × 49,096,209.80
  4. Step 4: Simplify right side
    31,772,253.80x = 2,410,437,816,418,863
  5. Step 5: Solve for x
    x = 2,410,437,816,418,863/31,772,253.80
  6. Step 6: Final answer
    x = 75,866,126.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.