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Finding the Third Proportional to 1,822,215,121 and 2,721,381,867

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Solution

The third proportional to 1,822,215,121 and 2,721,381,867 is: 4,064,239,825.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822,215,121 : 2,721,381,867 = 2,721,381,867 : x
  2. Step 2: Convert to fraction form
    1,822,215,121/2,721,381,867 = 2,721,381,867/x
  3. Step 3: Cross multiply
    1,822,215,121x = 2,721,381,867 × 2,721,381,867
  4. Step 4: Simplify right side
    1,822,215,121x = 7,405,919,266,036,405,248
  5. Step 5: Solve for x
    x = 7,405,919,266,036,405,248/1,822,215,121
  6. Step 6: Final answer
    x = 4,064,239,825.85

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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.