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Finding the Third Proportional to 5,676,021 and 12,408,363

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Solution

The third proportional to 5,676,021 and 12,408,363 is: 27,125,951.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676,021 : 12,408,363 = 12,408,363 : x
  2. Step 2: Convert to fraction form
    5,676,021/12,408,363 = 12,408,363/x
  3. Step 3: Cross multiply
    5,676,021x = 12,408,363 × 12,408,363
  4. Step 4: Simplify right side
    5,676,021x = 153,967,472,339,769
  5. Step 5: Solve for x
    x = 153,967,472,339,769/5,676,021
  6. Step 6: Final answer
    x = 27,125,951.85

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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.