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Finding the Third Proportional to 5,071,224 and 11,276,304

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Solution

The third proportional to 5,071,224 and 11,276,304 is: 25,073,834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071,224 : 11,276,304 = 11,276,304 : x
  2. Step 2: Convert to fraction form
    5,071,224/11,276,304 = 11,276,304/x
  3. Step 3: Cross multiply
    5,071,224x = 11,276,304 × 11,276,304
  4. Step 4: Simplify right side
    5,071,224x = 127,155,031,900,416
  5. Step 5: Solve for x
    x = 127,155,031,900,416/5,071,224
  6. Step 6: Final answer
    x = 25,073,834.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.