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Finding the Third Proportional to 52,517,988 and 84,381,790

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Solution

The third proportional to 52,517,988 and 84,381,790 is: 135,578,051.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,517,988 : 84,381,790 = 84,381,790 : x
  2. Step 2: Convert to fraction form
    52,517,988/84,381,790 = 84,381,790/x
  3. Step 3: Cross multiply
    52,517,988x = 84,381,790 × 84,381,790
  4. Step 4: Simplify right side
    52,517,988x = 7,120,286,483,604,100
  5. Step 5: Solve for x
    x = 7,120,286,483,604,100/52,517,988
  6. Step 6: Final answer
    x = 135,578,051.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.