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Finding the Third Proportional to 4,498,096.50 and 9,794,853

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Solution

The third proportional to 4,498,096.50 and 9,794,853 is: 21,328,832.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,498,096.50 : 9,794,853 = 9,794,853 : x
  2. Step 2: Convert to fraction form
    4,498,096.50/9,794,853 = 9,794,853/x
  3. Step 3: Cross multiply
    4,498,096.50x = 9,794,853 × 9,794,853
  4. Step 4: Simplify right side
    4,498,096.50x = 95,939,145,291,609
  5. Step 5: Solve for x
    x = 95,939,145,291,609/4,498,096.50
  6. Step 6: Final answer
    x = 21,328,832.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.