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Finding the Third Proportional to 2,840,216 and 6,135,328

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Solution

The third proportional to 2,840,216 and 6,135,328 is: 13,253,305.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840,216 : 6,135,328 = 6,135,328 : x
  2. Step 2: Convert to fraction form
    2,840,216/6,135,328 = 6,135,328/x
  3. Step 3: Cross multiply
    2,840,216x = 6,135,328 × 6,135,328
  4. Step 4: Simplify right side
    2,840,216x = 37,642,249,667,584
  5. Step 5: Solve for x
    x = 37,642,249,667,584/2,840,216
  6. Step 6: Final answer
    x = 13,253,305.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.