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Finding the Third Proportional to 3,633,999.19 and 7,984,400.34

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Solution

The third proportional to 3,633,999.19 and 7,984,400.34 is: 17,542,835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633,999.19 : 7,984,400.34 = 7,984,400.34 : x
  2. Step 2: Convert to fraction form
    3,633,999.19/7,984,400.34 = 7,984,400.34/x
  3. Step 3: Cross multiply
    3,633,999.19x = 7,984,400.34 × 7,984,400.34
  4. Step 4: Simplify right side
    3,633,999.19x = 63,750,648,849,275.12
  5. Step 5: Solve for x
    x = 63,750,648,849,275.12/3,633,999.19
  6. Step 6: Final answer
    x = 17,542,835.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.