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Finding the Third Proportional to 7,816,531.50 and 17,223,250.50

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Solution

The third proportional to 7,816,531.50 and 17,223,250.50 is: 37,950,382.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816,531.50 : 17,223,250.50 = 17,223,250.50 : x
  2. Step 2: Convert to fraction form
    7,816,531.50/17,223,250.50 = 17,223,250.50/x
  3. Step 3: Cross multiply
    7,816,531.50x = 17,223,250.50 × 17,223,250.50
  4. Step 4: Simplify right side
    7,816,531.50x = 296,640,357,785,750.25
  5. Step 5: Solve for x
    x = 296,640,357,785,750.25/7,816,531.50
  6. Step 6: Final answer
    x = 37,950,382.18

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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.