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Finding the Third Proportional to 10,295,208 and 22,383,216

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Solution

The third proportional to 10,295,208 and 22,383,216 is: 48,664,228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295,208 : 22,383,216 = 22,383,216 : x
  2. Step 2: Convert to fraction form
    10,295,208/22,383,216 = 22,383,216/x
  3. Step 3: Cross multiply
    10,295,208x = 22,383,216 × 22,383,216
  4. Step 4: Simplify right side
    10,295,208x = 501,008,358,502,656
  5. Step 5: Solve for x
    x = 501,008,358,502,656/10,295,208
  6. Step 6: Final answer
    x = 48,664,228.88

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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.