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Finding the Third Proportional to 5,141,756,471.50 and 7,240,726,149

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Solution

The third proportional to 5,141,756,471.50 and 7,240,726,149 is: 10,196,537,983.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141,756,471.50 : 7,240,726,149 = 7,240,726,149 : x
  2. Step 2: Convert to fraction form
    5,141,756,471.50/7,240,726,149 = 7,240,726,149/x
  3. Step 3: Cross multiply
    5,141,756,471.50x = 7,240,726,149 × 7,240,726,149
  4. Step 4: Simplify right side
    5,141,756,471.50x = 52,428,115,164,812,369,920
  5. Step 5: Solve for x
    x = 52,428,115,164,812,369,920/5,141,756,471.50
  6. Step 6: Final answer
    x = 10,196,537,983.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.