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Finding the Third Proportional to 6,906,264 and 15,038,616

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Solution

The third proportional to 6,906,264 and 15,038,616 is: 32,747,078.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906,264 : 15,038,616 = 15,038,616 : x
  2. Step 2: Convert to fraction form
    6,906,264/15,038,616 = 15,038,616/x
  3. Step 3: Cross multiply
    6,906,264x = 15,038,616 × 15,038,616
  4. Step 4: Simplify right side
    6,906,264x = 226,159,971,195,456
  5. Step 5: Solve for x
    x = 226,159,971,195,456/6,906,264
  6. Step 6: Final answer
    x = 32,747,078.77

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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.