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Finding the Third Proportional to 2,960,026,206.75 and 6,581,867,571

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Solution

The third proportional to 2,960,026,206.75 and 6,581,867,571 is: 14,635,336,884.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960,026,206.75 : 6,581,867,571 = 6,581,867,571 : x
  2. Step 2: Convert to fraction form
    2,960,026,206.75/6,581,867,571 = 6,581,867,571/x
  3. Step 3: Cross multiply
    2,960,026,206.75x = 6,581,867,571 × 6,581,867,571
  4. Step 4: Simplify right side
    2,960,026,206.75x = 43,320,980,722,181,439,488
  5. Step 5: Solve for x
    x = 43,320,980,722,181,439,488/2,960,026,206.75
  6. Step 6: Final answer
    x = 14,635,336,884.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.