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Finding the Third Proportional to 8,256,711 and 12,753,216

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Solution

The third proportional to 8,256,711 and 12,753,216 is: 19,698,463.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256,711 : 12,753,216 = 12,753,216 : x
  2. Step 2: Convert to fraction form
    8,256,711/12,753,216 = 12,753,216/x
  3. Step 3: Cross multiply
    8,256,711x = 12,753,216 × 12,753,216
  4. Step 4: Simplify right side
    8,256,711x = 162,644,518,342,656
  5. Step 5: Solve for x
    x = 162,644,518,342,656/8,256,711
  6. Step 6: Final answer
    x = 19,698,463.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.