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Finding the Third Proportional to 3,283,589,423 and 5,088,659,538

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Solution

The third proportional to 3,283,589,423 and 5,088,659,538 is: 7,886,021,227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283,589,423 : 5,088,659,538 = 5,088,659,538 : x
  2. Step 2: Convert to fraction form
    3,283,589,423/5,088,659,538 = 5,088,659,538/x
  3. Step 3: Cross multiply
    3,283,589,423x = 5,088,659,538 × 5,088,659,538
  4. Step 4: Simplify right side
    3,283,589,423x = 25,894,455,893,678,374,912
  5. Step 5: Solve for x
    x = 25,894,455,893,678,374,912/3,283,589,423
  6. Step 6: Final answer
    x = 7,886,021,227.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.