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Finding the Third Proportional to 35,824,417.50 and 78,356,193

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Solution

The third proportional to 35,824,417.50 and 78,356,193 is: 171,382,911.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,824,417.50 : 78,356,193 = 78,356,193 : x
  2. Step 2: Convert to fraction form
    35,824,417.50/78,356,193 = 78,356,193/x
  3. Step 3: Cross multiply
    35,824,417.50x = 78,356,193 × 78,356,193
  4. Step 4: Simplify right side
    35,824,417.50x = 6,139,692,981,453,249
  5. Step 5: Solve for x
    x = 6,139,692,981,453,249/35,824,417.50
  6. Step 6: Final answer
    x = 171,382,911.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.