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Finding the Third Proportional to 8,385,756 and 17,967,437

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Solution

The third proportional to 8,385,756 and 17,967,437 is: 38,497,279.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,385,756 : 17,967,437 = 17,967,437 : x
  2. Step 2: Convert to fraction form
    8,385,756/17,967,437 = 17,967,437/x
  3. Step 3: Cross multiply
    8,385,756x = 17,967,437 × 17,967,437
  4. Step 4: Simplify right side
    8,385,756x = 322,828,792,348,969
  5. Step 5: Solve for x
    x = 322,828,792,348,969/8,385,756
  6. Step 6: Final answer
    x = 38,497,279.48

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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.