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Finding the Third Proportional to 32,187,002.50 and 68,976,181.50

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Solution

The third proportional to 32,187,002.50 and 68,976,181.50 is: 147,814,746.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,187,002.50 : 68,976,181.50 = 68,976,181.50 : x
  2. Step 2: Convert to fraction form
    32,187,002.50/68,976,181.50 = 68,976,181.50/x
  3. Step 3: Cross multiply
    32,187,002.50x = 68,976,181.50 × 68,976,181.50
  4. Step 4: Simplify right side
    32,187,002.50x = 4,757,713,614,320,942
  5. Step 5: Solve for x
    x = 4,757,713,614,320,942/32,187,002.50
  6. Step 6: Final answer
    x = 147,814,746.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.