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Finding the Third Proportional to 4,259,106 and 9,236,830

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Solution

The third proportional to 4,259,106 and 9,236,830 is: 20,032,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259,106 : 9,236,830 = 9,236,830 : x
  2. Step 2: Convert to fraction form
    4,259,106/9,236,830 = 9,236,830/x
  3. Step 3: Cross multiply
    4,259,106x = 9,236,830 × 9,236,830
  4. Step 4: Simplify right side
    4,259,106x = 85,319,028,448,900
  5. Step 5: Solve for x
    x = 85,319,028,448,900/4,259,106
  6. Step 6: Final answer
    x = 20,032,144.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.