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Finding the Third Proportional to 7,678,432 and 17,776,048

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Solution

The third proportional to 7,678,432 and 17,776,048 is: 41,152,657.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678,432 : 17,776,048 = 17,776,048 : x
  2. Step 2: Convert to fraction form
    7,678,432/17,776,048 = 17,776,048/x
  3. Step 3: Cross multiply
    7,678,432x = 17,776,048 × 17,776,048
  4. Step 4: Simplify right side
    7,678,432x = 315,987,882,498,304
  5. Step 5: Solve for x
    x = 315,987,882,498,304/7,678,432
  6. Step 6: Final answer
    x = 41,152,657.53

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.