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Finding the Third Proportional to 3,661,434 and 7,973,771.50

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Solution

The third proportional to 3,661,434 and 7,973,771.50 is: 17,365,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661,434 : 7,973,771.50 = 7,973,771.50 : x
  2. Step 2: Convert to fraction form
    3,661,434/7,973,771.50 = 7,973,771.50/x
  3. Step 3: Cross multiply
    3,661,434x = 7,973,771.50 × 7,973,771.50
  4. Step 4: Simplify right side
    3,661,434x = 63,581,031,934,212.25
  5. Step 5: Solve for x
    x = 63,581,031,934,212.25/3,661,434
  6. Step 6: Final answer
    x = 17,365,062.96

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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.