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Finding the Third Proportional to 2,327,482,266 and 3,487,818,765

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Solution

The third proportional to 2,327,482,266 and 3,487,818,765 is: 5,226,626,176.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327,482,266 : 3,487,818,765 = 3,487,818,765 : x
  2. Step 2: Convert to fraction form
    2,327,482,266/3,487,818,765 = 3,487,818,765/x
  3. Step 3: Cross multiply
    2,327,482,266x = 3,487,818,765 × 3,487,818,765
  4. Step 4: Simplify right side
    2,327,482,266x = 12,164,879,737,486,125,056
  5. Step 5: Solve for x
    x = 12,164,879,737,486,125,056/2,327,482,266
  6. Step 6: Final answer
    x = 5,226,626,176.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.