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Finding the Third Proportional to 2,353,178.25 and 3,636,189.56

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Solution

The third proportional to 2,353,178.25 and 3,636,189.56 is: 5,618,730.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353,178.25 : 3,636,189.56 = 3,636,189.56 : x
  2. Step 2: Convert to fraction form
    2,353,178.25/3,636,189.56 = 3,636,189.56/x
  3. Step 3: Cross multiply
    2,353,178.25x = 3,636,189.56 × 3,636,189.56
  4. Step 4: Simplify right side
    2,353,178.25x = 13,221,874,534,433.94
  5. Step 5: Solve for x
    x = 13,221,874,534,433.94/2,353,178.25
  6. Step 6: Final answer
    x = 5,618,730.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.