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Finding the Third Proportional to 19,942,108 and 43,378,257

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Solution

The third proportional to 19,942,108 and 43,378,257 is: 94,356,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,942,108 : 43,378,257 = 43,378,257 : x
  2. Step 2: Convert to fraction form
    19,942,108/43,378,257 = 43,378,257/x
  3. Step 3: Cross multiply
    19,942,108x = 43,378,257 × 43,378,257
  4. Step 4: Simplify right side
    19,942,108x = 1,881,673,180,358,049
  5. Step 5: Solve for x
    x = 1,881,673,180,358,049/19,942,108
  6. Step 6: Final answer
    x = 94,356,784.17

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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.