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Finding the Third Proportional to 6,923,562 and 15,066,256

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Solution

The third proportional to 6,923,562 and 15,066,256 is: 32,785,446.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923,562 : 15,066,256 = 15,066,256 : x
  2. Step 2: Convert to fraction form
    6,923,562/15,066,256 = 15,066,256/x
  3. Step 3: Cross multiply
    6,923,562x = 15,066,256 × 15,066,256
  4. Step 4: Simplify right side
    6,923,562x = 226,992,069,857,536
  5. Step 5: Solve for x
    x = 226,992,069,857,536/6,923,562
  6. Step 6: Final answer
    x = 32,785,446.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.