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Finding the Third Proportional to 4,738,432 and 6,753,216

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Solution

The third proportional to 4,738,432 and 6,753,216 is: 9,624,687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738,432 : 6,753,216 = 6,753,216 : x
  2. Step 2: Convert to fraction form
    4,738,432/6,753,216 = 6,753,216/x
  3. Step 3: Cross multiply
    4,738,432x = 6,753,216 × 6,753,216
  4. Step 4: Simplify right side
    4,738,432x = 45,605,926,342,656
  5. Step 5: Solve for x
    x = 45,605,926,342,656/4,738,432
  6. Step 6: Final answer
    x = 9,624,687.31

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.