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Finding the Third Proportional to 8,024,974 and 17,358,872

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Solution

The third proportional to 8,024,974 and 17,358,872 is: 37,549,085.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024,974 : 17,358,872 = 17,358,872 : x
  2. Step 2: Convert to fraction form
    8,024,974/17,358,872 = 17,358,872/x
  3. Step 3: Cross multiply
    8,024,974x = 17,358,872 × 17,358,872
  4. Step 4: Simplify right side
    8,024,974x = 301,330,437,112,384
  5. Step 5: Solve for x
    x = 301,330,437,112,384/8,024,974
  6. Step 6: Final answer
    x = 37,549,085.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.