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Finding the Third Proportional to 9,808,221.94 and 13,464,010.97

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Solution

The third proportional to 9,808,221.94 and 13,464,010.97 is: 18,482,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808,221.94 : 13,464,010.97 = 13,464,010.97 : x
  2. Step 2: Convert to fraction form
    9,808,221.94/13,464,010.97 = 13,464,010.97/x
  3. Step 3: Cross multiply
    9,808,221.94x = 13,464,010.97 × 13,464,010.97
  4. Step 4: Simplify right side
    9,808,221.94x = 181,279,591,366,620.31
  5. Step 5: Solve for x
    x = 181,279,591,366,620.31/9,808,221.94
  6. Step 6: Final answer
    x = 18,482,411.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.