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Finding the Third Proportional to 11,154,996 and 23,649,408

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Solution

The third proportional to 11,154,996 and 23,649,408 is: 50,138,475.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,154,996 : 23,649,408 = 23,649,408 : x
  2. Step 2: Convert to fraction form
    11,154,996/23,649,408 = 23,649,408/x
  3. Step 3: Cross multiply
    11,154,996x = 23,649,408 × 23,649,408
  4. Step 4: Simplify right side
    11,154,996x = 559,294,498,750,464
  5. Step 5: Solve for x
    x = 559,294,498,750,464/11,154,996
  6. Step 6: Final answer
    x = 50,138,475.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.