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Finding the Third Proportional to 2,181,992,580 and 3,327,466,491

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Solution

The third proportional to 2,181,992,580 and 3,327,466,491 is: 5,074,276,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181,992,580 : 3,327,466,491 = 3,327,466,491 : x
  2. Step 2: Convert to fraction form
    2,181,992,580/3,327,466,491 = 3,327,466,491/x
  3. Step 3: Cross multiply
    2,181,992,580x = 3,327,466,491 × 3,327,466,491
  4. Step 4: Simplify right side
    2,181,992,580x = 11,072,033,248,727,853,056
  5. Step 5: Solve for x
    x = 11,072,033,248,727,853,056/2,181,992,580
  6. Step 6: Final answer
    x = 5,074,276,306.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.