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Finding the Third Proportional to 16,981,814.81 and 37,299,776.63

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Solution

The third proportional to 16,981,814.81 and 37,299,776.63 is: 81,927,246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,981,814.81 : 37,299,776.63 = 37,299,776.63 : x
  2. Step 2: Convert to fraction form
    16,981,814.81/37,299,776.63 = 37,299,776.63/x
  3. Step 3: Cross multiply
    16,981,814.81x = 37,299,776.63 × 37,299,776.63
  4. Step 4: Simplify right side
    16,981,814.81x = 1,391,273,336,274,896.50
  5. Step 5: Solve for x
    x = 1,391,273,336,274,896.50/16,981,814.81
  6. Step 6: Final answer
    x = 81,927,246.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.