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Finding the Third Proportional to 6,833,598 and 9,612,316

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Solution

The third proportional to 6,833,598 and 9,612,316 is: 13,520,932.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833,598 : 9,612,316 = 9,612,316 : x
  2. Step 2: Convert to fraction form
    6,833,598/9,612,316 = 9,612,316/x
  3. Step 3: Cross multiply
    6,833,598x = 9,612,316 × 9,612,316
  4. Step 4: Simplify right side
    6,833,598x = 92,396,618,883,856
  5. Step 5: Solve for x
    x = 92,396,618,883,856/6,833,598
  6. Step 6: Final answer
    x = 13,520,932.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.