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Finding the Third Proportional to 8,181,912.94 and 17,800,328.25

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Solution

The third proportional to 8,181,912.94 and 17,800,328.25 is: 38,725,868.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181,912.94 : 17,800,328.25 = 17,800,328.25 : x
  2. Step 2: Convert to fraction form
    8,181,912.94/17,800,328.25 = 17,800,328.25/x
  3. Step 3: Cross multiply
    8,181,912.94x = 17,800,328.25 × 17,800,328.25
  4. Step 4: Simplify right side
    8,181,912.94x = 316,851,685,807,748.06
  5. Step 5: Solve for x
    x = 316,851,685,807,748.06/8,181,912.94
  6. Step 6: Final answer
    x = 38,725,868.66

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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.