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Finding the Third Proportional to 6,689,620 and 14,678,408

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Solution

The third proportional to 6,689,620 and 14,678,408 is: 32,207,458.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689,620 : 14,678,408 = 14,678,408 : x
  2. Step 2: Convert to fraction form
    6,689,620/14,678,408 = 14,678,408/x
  3. Step 3: Cross multiply
    6,689,620x = 14,678,408 × 14,678,408
  4. Step 4: Simplify right side
    6,689,620x = 215,455,661,414,464
  5. Step 5: Solve for x
    x = 215,455,661,414,464/6,689,620
  6. Step 6: Final answer
    x = 32,207,458.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.