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Finding the Third Proportional to 7,973,829 and 11,958,151.50

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Solution

The third proportional to 7,973,829 and 11,958,151.50 is: 17,933,340.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973,829 : 11,958,151.50 = 11,958,151.50 : x
  2. Step 2: Convert to fraction form
    7,973,829/11,958,151.50 = 11,958,151.50/x
  3. Step 3: Cross multiply
    7,973,829x = 11,958,151.50 × 11,958,151.50
  4. Step 4: Simplify right side
    7,973,829x = 142,997,387,296,952.25
  5. Step 5: Solve for x
    x = 142,997,387,296,952.25/7,973,829
  6. Step 6: Final answer
    x = 17,933,340.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.