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Finding the Third Proportional to 4,200,378 and 9,160,972

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Solution

The third proportional to 4,200,378 and 9,160,972 is: 19,979,965.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200,378 : 9,160,972 = 9,160,972 : x
  2. Step 2: Convert to fraction form
    4,200,378/9,160,972 = 9,160,972/x
  3. Step 3: Cross multiply
    4,200,378x = 9,160,972 × 9,160,972
  4. Step 4: Simplify right side
    4,200,378x = 83,923,407,984,784
  5. Step 5: Solve for x
    x = 83,923,407,984,784/4,200,378
  6. Step 6: Final answer
    x = 19,979,965.61

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.