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Finding the Third Proportional to 4,735,634 and 10,229,059

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Solution

The third proportional to 4,735,634 and 10,229,059 is: 22,094,960.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,735,634 : 10,229,059 = 10,229,059 : x
  2. Step 2: Convert to fraction form
    4,735,634/10,229,059 = 10,229,059/x
  3. Step 3: Cross multiply
    4,735,634x = 10,229,059 × 10,229,059
  4. Step 4: Simplify right side
    4,735,634x = 104,633,648,025,481
  5. Step 5: Solve for x
    x = 104,633,648,025,481/4,735,634
  6. Step 6: Final answer
    x = 22,094,960.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.