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Finding the Third Proportional to 4,523,496 and 9,832,800

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Solution

The third proportional to 4,523,496 and 9,832,800 is: 21,373,724.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,523,496 : 9,832,800 = 9,832,800 : x
  2. Step 2: Convert to fraction form
    4,523,496/9,832,800 = 9,832,800/x
  3. Step 3: Cross multiply
    4,523,496x = 9,832,800 × 9,832,800
  4. Step 4: Simplify right side
    4,523,496x = 96,683,955,840,000
  5. Step 5: Solve for x
    x = 96,683,955,840,000/4,523,496
  6. Step 6: Final answer
    x = 21,373,724.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.