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Finding the Third Proportional to 8,204,832 and 17,953,920

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Solution

The third proportional to 8,204,832 and 17,953,920 is: 39,287,001.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204,832 : 17,953,920 = 17,953,920 : x
  2. Step 2: Convert to fraction form
    8,204,832/17,953,920 = 17,953,920/x
  3. Step 3: Cross multiply
    8,204,832x = 17,953,920 × 17,953,920
  4. Step 4: Simplify right side
    8,204,832x = 322,343,243,366,400
  5. Step 5: Solve for x
    x = 322,343,243,366,400/8,204,832
  6. Step 6: Final answer
    x = 39,287,001.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.