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Finding the Third Proportional to 775,756,358,288 and 1,812,516,887,936

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Solution

The third proportional to 775,756,358,288 and 1,812,516,887,936 is: 4,234,857,289,862.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,756,358,288 : 1,812,516,887,936 = 1,812,516,887,936 : x
  2. Step 2: Convert to fraction form
    775,756,358,288/1,812,516,887,936 = 1,812,516,887,936/x
  3. Step 3: Cross multiply
    775,756,358,288x = 1,812,516,887,936 × 1,812,516,887,936
  4. Step 4: Simplify right side
    775,756,358,288x = 3,285,217,469,053,202,321,113,088
  5. Step 5: Solve for x
    x = 3,285,217,469,053,202,321,113,088/775,756,358,288
  6. Step 6: Final answer
    x = 4,234,857,289,862.60

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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.