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Finding the Third Proportional to 4,010,498 and 8,351,464

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Solution

The third proportional to 4,010,498 and 8,351,464 is: 17,391,094.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,010,498 : 8,351,464 = 8,351,464 : x
  2. Step 2: Convert to fraction form
    4,010,498/8,351,464 = 8,351,464/x
  3. Step 3: Cross multiply
    4,010,498x = 8,351,464 × 8,351,464
  4. Step 4: Simplify right side
    4,010,498x = 69,746,950,943,296
  5. Step 5: Solve for x
    x = 69,746,950,943,296/4,010,498
  6. Step 6: Final answer
    x = 17,391,094.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.