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Finding the Third Proportional to 4,786,098 and 10,244,964

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Solution

The third proportional to 4,786,098 and 10,244,964 is: 21,930,033.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786,098 : 10,244,964 = 10,244,964 : x
  2. Step 2: Convert to fraction form
    4,786,098/10,244,964 = 10,244,964/x
  3. Step 3: Cross multiply
    4,786,098x = 10,244,964 × 10,244,964
  4. Step 4: Simplify right side
    4,786,098x = 104,959,287,361,296
  5. Step 5: Solve for x
    x = 104,959,287,361,296/4,786,098
  6. Step 6: Final answer
    x = 21,930,033.06

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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.