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Finding the Third Proportional to 6,438,537 and 13,644,711

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Solution

The third proportional to 6,438,537 and 13,644,711 is: 28,916,217.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438,537 : 13,644,711 = 13,644,711 : x
  2. Step 2: Convert to fraction form
    6,438,537/13,644,711 = 13,644,711/x
  3. Step 3: Cross multiply
    6,438,537x = 13,644,711 × 13,644,711
  4. Step 4: Simplify right side
    6,438,537x = 186,178,138,273,521
  5. Step 5: Solve for x
    x = 186,178,138,273,521/6,438,537
  6. Step 6: Final answer
    x = 28,916,217.81

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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.