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Finding the Third Proportional to 17,680,898 and 36,932,548

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Solution

The third proportional to 17,680,898 and 36,932,548 is: 77,146,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,680,898 : 36,932,548 = 36,932,548 : x
  2. Step 2: Convert to fraction form
    17,680,898/36,932,548 = 36,932,548/x
  3. Step 3: Cross multiply
    17,680,898x = 36,932,548 × 36,932,548
  4. Step 4: Simplify right side
    17,680,898x = 1,364,013,101,772,304
  5. Step 5: Solve for x
    x = 1,364,013,101,772,304/17,680,898
  6. Step 6: Final answer
    x = 77,146,143.92

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.