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Finding the Third Proportional to 3,676,392.50 and 8,078,464

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Solution

The third proportional to 3,676,392.50 and 8,078,464 is: 17,751,526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676,392.50 : 8,078,464 = 8,078,464 : x
  2. Step 2: Convert to fraction form
    3,676,392.50/8,078,464 = 8,078,464/x
  3. Step 3: Cross multiply
    3,676,392.50x = 8,078,464 × 8,078,464
  4. Step 4: Simplify right side
    3,676,392.50x = 65,261,580,599,296
  5. Step 5: Solve for x
    x = 65,261,580,599,296/3,676,392.50
  6. Step 6: Final answer
    x = 17,751,526.97

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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.