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Finding the Third Proportional to 40,410,941.77 and 86,425,285.08

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Solution

The third proportional to 40,410,941.77 and 86,425,285.08 is: 184,834,343.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,410,941.77 : 86,425,285.08 = 86,425,285.08 : x
  2. Step 2: Convert to fraction form
    40,410,941.77/86,425,285.08 = 86,425,285.08/x
  3. Step 3: Cross multiply
    40,410,941.77x = 86,425,285.08 × 86,425,285.08
  4. Step 4: Simplify right side
    40,410,941.77x = 7,469,329,900,835,176
  5. Step 5: Solve for x
    x = 7,469,329,900,835,176/40,410,941.77
  6. Step 6: Final answer
    x = 184,834,343.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.