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Finding the Third Proportional to 6,759,135 and 14,077,656

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Solution

The third proportional to 6,759,135 and 14,077,656 is: 29,320,378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,759,135 : 14,077,656 = 14,077,656 : x
  2. Step 2: Convert to fraction form
    6,759,135/14,077,656 = 14,077,656/x
  3. Step 3: Cross multiply
    6,759,135x = 14,077,656 × 14,077,656
  4. Step 4: Simplify right side
    6,759,135x = 198,180,398,454,336
  5. Step 5: Solve for x
    x = 198,180,398,454,336/6,759,135
  6. Step 6: Final answer
    x = 29,320,378.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.