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Finding the Third Proportional to 2,755,013 and 6,433,421

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Solution

The third proportional to 2,755,013 and 6,433,421 is: 15,023,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755,013 : 6,433,421 = 6,433,421 : x
  2. Step 2: Convert to fraction form
    2,755,013/6,433,421 = 6,433,421/x
  3. Step 3: Cross multiply
    2,755,013x = 6,433,421 × 6,433,421
  4. Step 4: Simplify right side
    2,755,013x = 41,388,905,763,241
  5. Step 5: Solve for x
    x = 41,388,905,763,241/2,755,013
  6. Step 6: Final answer
    x = 15,023,125.39

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.