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Finding the Third Proportional to 3,233,916 and 7,041,564

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Solution

The third proportional to 3,233,916 and 7,041,564 is: 15,332,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233,916 : 7,041,564 = 7,041,564 : x
  2. Step 2: Convert to fraction form
    3,233,916/7,041,564 = 7,041,564/x
  3. Step 3: Cross multiply
    3,233,916x = 7,041,564 × 7,041,564
  4. Step 4: Simplify right side
    3,233,916x = 49,583,623,566,096
  5. Step 5: Solve for x
    x = 49,583,623,566,096/3,233,916
  6. Step 6: Final answer
    x = 15,332,378.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.