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Finding the Third Proportional to 6,565,720 and 10,085,756

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Solution

The third proportional to 6,565,720 and 10,085,756 is: 15,492,965.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565,720 : 10,085,756 = 10,085,756 : x
  2. Step 2: Convert to fraction form
    6,565,720/10,085,756 = 10,085,756/x
  3. Step 3: Cross multiply
    6,565,720x = 10,085,756 × 10,085,756
  4. Step 4: Simplify right side
    6,565,720x = 101,722,474,091,536
  5. Step 5: Solve for x
    x = 101,722,474,091,536/6,565,720
  6. Step 6: Final answer
    x = 15,492,965.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.