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Finding the Third Proportional to 7,678,452 and 17,776,098

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Solution

The third proportional to 7,678,452 and 17,776,098 is: 41,152,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678,452 : 17,776,098 = 17,776,098 : x
  2. Step 2: Convert to fraction form
    7,678,452/17,776,098 = 17,776,098/x
  3. Step 3: Cross multiply
    7,678,452x = 17,776,098 × 17,776,098
  4. Step 4: Simplify right side
    7,678,452x = 315,989,660,105,604
  5. Step 5: Solve for x
    x = 315,989,660,105,604/7,678,452
  6. Step 6: Final answer
    x = 41,152,781.85

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Why These Related Problems?

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