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Finding the Third Proportional to 4,747,106 and 10,462,324

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Solution

The third proportional to 4,747,106 and 10,462,324 is: 23,058,306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747,106 : 10,462,324 = 10,462,324 : x
  2. Step 2: Convert to fraction form
    4,747,106/10,462,324 = 10,462,324/x
  3. Step 3: Cross multiply
    4,747,106x = 10,462,324 × 10,462,324
  4. Step 4: Simplify right side
    4,747,106x = 109,460,223,480,976
  5. Step 5: Solve for x
    x = 109,460,223,480,976/4,747,106
  6. Step 6: Final answer
    x = 23,058,306.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.