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Finding the Third Proportional to 8,385,752.25 and 17,967,429

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Solution

The third proportional to 8,385,752.25 and 17,967,429 is: 38,497,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385,752.25 : 17,967,429 = 17,967,429 : x
  2. Step 2: Convert to fraction form
    8,385,752.25/17,967,429 = 17,967,429/x
  3. Step 3: Cross multiply
    8,385,752.25x = 17,967,429 × 17,967,429
  4. Step 4: Simplify right side
    8,385,752.25x = 322,828,504,870,041
  5. Step 5: Solve for x
    x = 322,828,504,870,041/8,385,752.25
  6. Step 6: Final answer
    x = 38,497,262.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.