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Finding the Third Proportional to 4,198,389 and 9,156,482

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Solution

The third proportional to 4,198,389 and 9,156,482 is: 19,969,841.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198,389 : 9,156,482 = 9,156,482 : x
  2. Step 2: Convert to fraction form
    4,198,389/9,156,482 = 9,156,482/x
  3. Step 3: Cross multiply
    4,198,389x = 9,156,482 × 9,156,482
  4. Step 4: Simplify right side
    4,198,389x = 83,841,162,616,324
  5. Step 5: Solve for x
    x = 83,841,162,616,324/4,198,389
  6. Step 6: Final answer
    x = 19,969,841.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.