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Finding the Third Proportional to 1,952,797,758 and 2,947,356,567

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Solution

The third proportional to 1,952,797,758 and 2,947,356,567 is: 4,448,443,622.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952,797,758 : 2,947,356,567 = 2,947,356,567 : x
  2. Step 2: Convert to fraction form
    1,952,797,758/2,947,356,567 = 2,947,356,567/x
  3. Step 3: Cross multiply
    1,952,797,758x = 2,947,356,567 × 2,947,356,567
  4. Step 4: Simplify right side
    1,952,797,758x = 8,686,910,733,038,025,728
  5. Step 5: Solve for x
    x = 8,686,910,733,038,025,728/1,952,797,758
  6. Step 6: Final answer
    x = 4,448,443,622.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.