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Finding the Third Proportional to 3,327,468 and 6,812,328

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Solution

The third proportional to 3,327,468 and 6,812,328 is: 13,946,884.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,327,468 : 6,812,328 = 6,812,328 : x
  2. Step 2: Convert to fraction form
    3,327,468/6,812,328 = 6,812,328/x
  3. Step 3: Cross multiply
    3,327,468x = 6,812,328 × 6,812,328
  4. Step 4: Simplify right side
    3,327,468x = 46,407,812,779,584
  5. Step 5: Solve for x
    x = 46,407,812,779,584/3,327,468
  6. Step 6: Final answer
    x = 13,946,884.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.