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Finding the Third Proportional to 6,508,707.50 and 13,996,951.50

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Solution

The third proportional to 6,508,707.50 and 13,996,951.50 is: 30,100,392.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508,707.50 : 13,996,951.50 = 13,996,951.50 : x
  2. Step 2: Convert to fraction form
    6,508,707.50/13,996,951.50 = 13,996,951.50/x
  3. Step 3: Cross multiply
    6,508,707.50x = 13,996,951.50 × 13,996,951.50
  4. Step 4: Simplify right side
    6,508,707.50x = 195,914,651,293,352.25
  5. Step 5: Solve for x
    x = 195,914,651,293,352.25/6,508,707.50
  6. Step 6: Final answer
    x = 30,100,392.63

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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.