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Finding the Third Proportional to 10,205,240 and 22,204,000

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Solution

The third proportional to 10,205,240 and 22,204,000 is: 48,310,242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205,240 : 22,204,000 = 22,204,000 : x
  2. Step 2: Convert to fraction form
    10,205,240/22,204,000 = 22,204,000/x
  3. Step 3: Cross multiply
    10,205,240x = 22,204,000 × 22,204,000
  4. Step 4: Simplify right side
    10,205,240x = 493,017,616,000,000
  5. Step 5: Solve for x
    x = 493,017,616,000,000/10,205,240
  6. Step 6: Final answer
    x = 48,310,242.19

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Why These Related Problems?

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