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Finding the Third Proportional to 5,703,296 and 12,681,732

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Solution

The third proportional to 5,703,296 and 12,681,732 is: 28,198,839.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703,296 : 12,681,732 = 12,681,732 : x
  2. Step 2: Convert to fraction form
    5,703,296/12,681,732 = 12,681,732/x
  3. Step 3: Cross multiply
    5,703,296x = 12,681,732 × 12,681,732
  4. Step 4: Simplify right side
    5,703,296x = 160,826,326,519,824
  5. Step 5: Solve for x
    x = 160,826,326,519,824/5,703,296
  6. Step 6: Final answer
    x = 28,198,839.15

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.