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Finding the Third Proportional to 7,832,530.50 and 11,973,919.50

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Solution

The third proportional to 7,832,530.50 and 11,973,919.50 is: 18,305,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832,530.50 : 11,973,919.50 = 11,973,919.50 : x
  2. Step 2: Convert to fraction form
    7,832,530.50/11,973,919.50 = 11,973,919.50/x
  3. Step 3: Cross multiply
    7,832,530.50x = 11,973,919.50 × 11,973,919.50
  4. Step 4: Simplify right side
    7,832,530.50x = 143,374,748,192,480.25
  5. Step 5: Solve for x
    x = 143,374,748,192,480.25/7,832,530.50
  6. Step 6: Final answer
    x = 18,305,035.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.