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Finding the Third Proportional to 2,925,100,840 and 6,327,304,478

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Solution

The third proportional to 2,925,100,840 and 6,327,304,478 is: 13,686,633,093.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,925,100,840 : 6,327,304,478 = 6,327,304,478 : x
  2. Step 2: Convert to fraction form
    2,925,100,840/6,327,304,478 = 6,327,304,478/x
  3. Step 3: Cross multiply
    2,925,100,840x = 6,327,304,478 × 6,327,304,478
  4. Step 4: Simplify right side
    2,925,100,840x = 40,034,781,957,318,852,608
  5. Step 5: Solve for x
    x = 40,034,781,957,318,852,608/2,925,100,840
  6. Step 6: Final answer
    x = 13,686,633,093.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.