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Finding the Third Proportional to 5,141,756,471.06 and 7,240,726,146.94

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Solution

The third proportional to 5,141,756,471.06 and 7,240,726,146.94 is: 10,196,537,978.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141,756,471.06 : 7,240,726,146.94 = 7,240,726,146.94 : x
  2. Step 2: Convert to fraction form
    5,141,756,471.06/7,240,726,146.94 = 7,240,726,146.94/x
  3. Step 3: Cross multiply
    5,141,756,471.06x = 7,240,726,146.94 × 7,240,726,146.94
  4. Step 4: Simplify right side
    5,141,756,471.06x = 52,428,115,134,944,378,880
  5. Step 5: Solve for x
    x = 52,428,115,134,944,378,880/5,141,756,471.06
  6. Step 6: Final answer
    x = 10,196,537,978.80

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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.