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Finding the Third Proportional to 1,822,215,128 and 2,721,381,876

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Solution

The third proportional to 1,822,215,128 and 2,721,381,876 is: 4,064,239,837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822,215,128 : 2,721,381,876 = 2,721,381,876 : x
  2. Step 2: Convert to fraction form
    1,822,215,128/2,721,381,876 = 2,721,381,876/x
  3. Step 3: Cross multiply
    1,822,215,128x = 2,721,381,876 × 2,721,381,876
  4. Step 4: Simplify right side
    1,822,215,128x = 7,405,919,315,021,279,232
  5. Step 5: Solve for x
    x = 7,405,919,315,021,279,232/1,822,215,128
  6. Step 6: Final answer
    x = 4,064,239,837.12

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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.