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Finding the Third Proportional to 6,787,800 and 14,638,248

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Solution

The third proportional to 6,787,800 and 14,638,248 is: 31,568,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787,800 : 14,638,248 = 14,638,248 : x
  2. Step 2: Convert to fraction form
    6,787,800/14,638,248 = 14,638,248/x
  3. Step 3: Cross multiply
    6,787,800x = 14,638,248 × 14,638,248
  4. Step 4: Simplify right side
    6,787,800x = 214,278,304,509,504
  5. Step 5: Solve for x
    x = 214,278,304,509,504/6,787,800
  6. Step 6: Final answer
    x = 31,568,152.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.