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Finding the Third Proportional to 3,433,944 and 6,781,416

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Solution

The third proportional to 3,433,944 and 6,781,416 is: 13,392,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433,944 : 6,781,416 = 6,781,416 : x
  2. Step 2: Convert to fraction form
    3,433,944/6,781,416 = 6,781,416/x
  3. Step 3: Cross multiply
    3,433,944x = 6,781,416 × 6,781,416
  4. Step 4: Simplify right side
    3,433,944x = 45,987,602,965,056
  5. Step 5: Solve for x
    x = 45,987,602,965,056/3,433,944
  6. Step 6: Final answer
    x = 13,392,065.50

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.