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Finding the Third Proportional to 19,942,069.75 and 43,378,196

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Solution

The third proportional to 19,942,069.75 and 43,378,196 is: 94,356,699.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,942,069.75 : 43,378,196 = 43,378,196 : x
  2. Step 2: Convert to fraction form
    19,942,069.75/43,378,196 = 43,378,196/x
  3. Step 3: Cross multiply
    19,942,069.75x = 43,378,196 × 43,378,196
  4. Step 4: Simplify right side
    19,942,069.75x = 1,881,667,888,214,416
  5. Step 5: Solve for x
    x = 1,881,667,888,214,416/19,942,069.75
  6. Step 6: Final answer
    x = 94,356,699.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.