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Finding the Third Proportional to 7,816,536 and 17,223,260

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Solution

The third proportional to 7,816,536 and 17,223,260 is: 37,950,402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816,536 : 17,223,260 = 17,223,260 : x
  2. Step 2: Convert to fraction form
    7,816,536/17,223,260 = 17,223,260/x
  3. Step 3: Cross multiply
    7,816,536x = 17,223,260 × 17,223,260
  4. Step 4: Simplify right side
    7,816,536x = 296,640,685,027,600
  5. Step 5: Solve for x
    x = 296,640,685,027,600/7,816,536
  6. Step 6: Final answer
    x = 37,950,402.20

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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.