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Finding the Third Proportional to 7,265,947.50 and 17,127,866.25

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Solution

The third proportional to 7,265,947.50 and 17,127,866.25 is: 40,375,161.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265,947.50 : 17,127,866.25 = 17,127,866.25 : x
  2. Step 2: Convert to fraction form
    7,265,947.50/17,127,866.25 = 17,127,866.25/x
  3. Step 3: Cross multiply
    7,265,947.50x = 17,127,866.25 × 17,127,866.25
  4. Step 4: Simplify right side
    7,265,947.50x = 293,363,802,277,889.06
  5. Step 5: Solve for x
    x = 293,363,802,277,889.06/7,265,947.50
  6. Step 6: Final answer
    x = 40,375,161.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.