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Finding the Third Proportional to 7,832,535.47 and 11,973,927.52

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Solution

The third proportional to 7,832,535.47 and 11,973,927.52 is: 18,305,048.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832,535.47 : 11,973,927.52 = 11,973,927.52 : x
  2. Step 2: Convert to fraction form
    7,832,535.47/11,973,927.52 = 11,973,927.52/x
  3. Step 3: Cross multiply
    7,832,535.47x = 11,973,927.52 × 11,973,927.52
  4. Step 4: Simplify right side
    7,832,535.47x = 143,374,940,149,441.50
  5. Step 5: Solve for x
    x = 143,374,940,149,441.50/7,832,535.47
  6. Step 6: Final answer
    x = 18,305,048.31

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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.