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Finding the Third Proportional to 5,676,026 and 12,408,372

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Solution

The third proportional to 5,676,026 and 12,408,372 is: 27,125,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676,026 : 12,408,372 = 12,408,372 : x
  2. Step 2: Convert to fraction form
    5,676,026/12,408,372 = 12,408,372/x
  3. Step 3: Cross multiply
    5,676,026x = 12,408,372 × 12,408,372
  4. Step 4: Simplify right side
    5,676,026x = 153,967,695,690,384
  5. Step 5: Solve for x
    x = 153,967,695,690,384/5,676,026
  6. Step 6: Final answer
    x = 27,125,967.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.