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Finding the Third Proportional to 4,829,006 and 10,233,676

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Solution

The third proportional to 4,829,006 and 10,233,676 is: 21,687,304.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829,006 : 10,233,676 = 10,233,676 : x
  2. Step 2: Convert to fraction form
    4,829,006/10,233,676 = 10,233,676/x
  3. Step 3: Cross multiply
    4,829,006x = 10,233,676 × 10,233,676
  4. Step 4: Simplify right side
    4,829,006x = 104,728,124,472,976
  5. Step 5: Solve for x
    x = 104,728,124,472,976/4,829,006
  6. Step 6: Final answer
    x = 21,687,304.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.