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Finding the Third Proportional to 2,181,992,584 and 3,327,466,497

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Solution

The third proportional to 2,181,992,584 and 3,327,466,497 is: 5,074,276,315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181,992,584 : 3,327,466,497 = 3,327,466,497 : x
  2. Step 2: Convert to fraction form
    2,181,992,584/3,327,466,497 = 3,327,466,497/x
  3. Step 3: Cross multiply
    2,181,992,584x = 3,327,466,497 × 3,327,466,497
  4. Step 4: Simplify right side
    2,181,992,584x = 11,072,033,288,657,451,008
  5. Step 5: Solve for x
    x = 11,072,033,288,657,451,008/2,181,992,584
  6. Step 6: Final answer
    x = 5,074,276,315.07

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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.