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Finding the Third Proportional to 1,539,002,673 and 3,229,170,786

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Solution

The third proportional to 1,539,002,673 and 3,229,170,786 is: 6,775,520,373.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539,002,673 : 3,229,170,786 = 3,229,170,786 : x
  2. Step 2: Convert to fraction form
    1,539,002,673/3,229,170,786 = 3,229,170,786/x
  3. Step 3: Cross multiply
    1,539,002,673x = 3,229,170,786 × 3,229,170,786
  4. Step 4: Simplify right side
    1,539,002,673x = 10,427,543,965,155,858,432
  5. Step 5: Solve for x
    x = 10,427,543,965,155,858,432/1,539,002,673
  6. Step 6: Final answer
    x = 6,775,520,373.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.