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Finding the Third Proportional to 775,756,356,744 and 1,812,516,885,060

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Solution

The third proportional to 775,756,356,744 and 1,812,516,885,060 is: 4,234,857,284,852.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,756,356,744 : 1,812,516,885,060 = 1,812,516,885,060 : x
  2. Step 2: Convert to fraction form
    775,756,356,744/1,812,516,885,060 = 1,812,516,885,060/x
  3. Step 3: Cross multiply
    775,756,356,744x = 1,812,516,885,060 × 1,812,516,885,060
  4. Step 4: Simplify right side
    775,756,356,744x = 3,285,217,458,627,605,149,253,632
  5. Step 5: Solve for x
    x = 3,285,217,458,627,605,149,253,632/775,756,356,744
  6. Step 6: Final answer
    x = 4,234,857,284,852.04

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.