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Finding the Third Proportional to 5,449,024 and 11,841,248

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Solution

The third proportional to 5,449,024 and 11,841,248 is: 25,732,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,449,024 : 11,841,248 = 11,841,248 : x
  2. Step 2: Convert to fraction form
    5,449,024/11,841,248 = 11,841,248/x
  3. Step 3: Cross multiply
    5,449,024x = 11,841,248 × 11,841,248
  4. Step 4: Simplify right side
    5,449,024x = 140,215,154,197,504
  5. Step 5: Solve for x
    x = 140,215,154,197,504/5,449,024
  6. Step 6: Final answer
    x = 25,732,159.41

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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.