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Finding the Third Proportional to 2,241,172,992 and 3,349,407,163

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Solution

The third proportional to 2,241,172,992 and 3,349,407,163 is: 5,005,650,337.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241,172,992 : 3,349,407,163 = 3,349,407,163 : x
  2. Step 2: Convert to fraction form
    2,241,172,992/3,349,407,163 = 3,349,407,163/x
  3. Step 3: Cross multiply
    2,241,172,992x = 3,349,407,163 × 3,349,407,163
  4. Step 4: Simplify right side
    2,241,172,992x = 11,218,528,343,555,708,928
  5. Step 5: Solve for x
    x = 11,218,528,343,555,708,928/2,241,172,992
  6. Step 6: Final answer
    x = 5,005,650,337.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.