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Finding the Third Proportional to 9,814,871.25 and 16,301,088

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Solution

The third proportional to 9,814,871.25 and 16,301,088 is: 27,073,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814,871.25 : 16,301,088 = 16,301,088 : x
  2. Step 2: Convert to fraction form
    9,814,871.25/16,301,088 = 16,301,088/x
  3. Step 3: Cross multiply
    9,814,871.25x = 16,301,088 × 16,301,088
  4. Step 4: Simplify right side
    9,814,871.25x = 265,725,469,983,744
  5. Step 5: Solve for x
    x = 265,725,469,983,744/9,814,871.25
  6. Step 6: Final answer
    x = 27,073,760.14

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.