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Finding the Third Proportional to 6,422,930 and 9,393,231

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Solution

The third proportional to 6,422,930 and 9,393,231 is: 13,737,155.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422,930 : 9,393,231 = 9,393,231 : x
  2. Step 2: Convert to fraction form
    6,422,930/9,393,231 = 9,393,231/x
  3. Step 3: Cross multiply
    6,422,930x = 9,393,231 × 9,393,231
  4. Step 4: Simplify right side
    6,422,930x = 88,232,788,619,361
  5. Step 5: Solve for x
    x = 88,232,788,619,361/6,422,930
  6. Step 6: Final answer
    x = 13,737,155.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.