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Finding the Third Proportional to 6,423,032 and 9,393,411

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Solution

The third proportional to 6,423,032 and 9,393,411 is: 13,737,463.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423,032 : 9,393,411 = 9,393,411 : x
  2. Step 2: Convert to fraction form
    6,423,032/9,393,411 = 9,393,411/x
  3. Step 3: Cross multiply
    6,423,032x = 9,393,411 × 9,393,411
  4. Step 4: Simplify right side
    6,423,032x = 88,236,170,214,921
  5. Step 5: Solve for x
    x = 88,236,170,214,921/6,423,032
  6. Step 6: Final answer
    x = 13,737,463.90

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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.