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Finding the Third Proportional to 3,730,796 and 8,032,384

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Solution

The third proportional to 3,730,796 and 8,032,384 is: 17,293,680.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730,796 : 8,032,384 = 8,032,384 : x
  2. Step 2: Convert to fraction form
    3,730,796/8,032,384 = 8,032,384/x
  3. Step 3: Cross multiply
    3,730,796x = 8,032,384 × 8,032,384
  4. Step 4: Simplify right side
    3,730,796x = 64,519,192,723,456
  5. Step 5: Solve for x
    x = 64,519,192,723,456/3,730,796
  6. Step 6: Final answer
    x = 17,293,680.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.