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Finding the Third Proportional to 6,423,040 and 9,393,420

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Solution

The third proportional to 6,423,040 and 9,393,420 is: 13,737,473.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423,040 : 9,393,420 = 9,393,420 : x
  2. Step 2: Convert to fraction form
    6,423,040/9,393,420 = 9,393,420/x
  3. Step 3: Cross multiply
    6,423,040x = 9,393,420 × 9,393,420
  4. Step 4: Simplify right side
    6,423,040x = 88,236,339,296,400
  5. Step 5: Solve for x
    x = 88,236,339,296,400/6,423,040
  6. Step 6: Final answer
    x = 13,737,473.11

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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.