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Finding the Third Proportional to 10,239,370 and 21,998,286

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Solution

The third proportional to 10,239,370 and 21,998,286 is: 47,261,168.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239,370 : 21,998,286 = 21,998,286 : x
  2. Step 2: Convert to fraction form
    10,239,370/21,998,286 = 21,998,286/x
  3. Step 3: Cross multiply
    10,239,370x = 21,998,286 × 21,998,286
  4. Step 4: Simplify right side
    10,239,370x = 483,924,586,937,796
  5. Step 5: Solve for x
    x = 483,924,586,937,796/10,239,370
  6. Step 6: Final answer
    x = 47,261,168.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.