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Finding the Third Proportional to 6,270,568 and 9,163,896

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Solution

The third proportional to 6,270,568 and 9,163,896 is: 13,392,246.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270,568 : 9,163,896 = 9,163,896 : x
  2. Step 2: Convert to fraction form
    6,270,568/9,163,896 = 9,163,896/x
  3. Step 3: Cross multiply
    6,270,568x = 9,163,896 × 9,163,896
  4. Step 4: Simplify right side
    6,270,568x = 83,976,989,898,816
  5. Step 5: Solve for x
    x = 83,976,989,898,816/6,270,568
  6. Step 6: Final answer
    x = 13,392,246.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.