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Finding the Third Proportional to 3,220,416 and 6,580,656

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Solution

The third proportional to 3,220,416 and 6,580,656 is: 13,447,030.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,220,416 : 6,580,656 = 6,580,656 : x
  2. Step 2: Convert to fraction form
    3,220,416/6,580,656 = 6,580,656/x
  3. Step 3: Cross multiply
    3,220,416x = 6,580,656 × 6,580,656
  4. Step 4: Simplify right side
    3,220,416x = 43,305,033,390,336
  5. Step 5: Solve for x
    x = 43,305,033,390,336/3,220,416
  6. Step 6: Final answer
    x = 13,447,030.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.