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Finding the Third Proportional to 4,484,168 and 9,840,400

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Solution

The third proportional to 4,484,168 and 9,840,400 is: 21,594,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,484,168 : 9,840,400 = 9,840,400 : x
  2. Step 2: Convert to fraction form
    4,484,168/9,840,400 = 9,840,400/x
  3. Step 3: Cross multiply
    4,484,168x = 9,840,400 × 9,840,400
  4. Step 4: Simplify right side
    4,484,168x = 96,833,472,160,000
  5. Step 5: Solve for x
    x = 96,833,472,160,000/4,484,168
  6. Step 6: Final answer
    x = 21,594,523.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.