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Finding the Third Proportional to 19,942,016 and 43,378,083

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Solution

The third proportional to 19,942,016 and 43,378,083 is: 94,356,462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,942,016 : 43,378,083 = 43,378,083 : x
  2. Step 2: Convert to fraction form
    19,942,016/43,378,083 = 43,378,083/x
  3. Step 3: Cross multiply
    19,942,016x = 43,378,083 × 43,378,083
  4. Step 4: Simplify right side
    19,942,016x = 1,881,658,084,754,889
  5. Step 5: Solve for x
    x = 1,881,658,084,754,889/19,942,016
  6. Step 6: Final answer
    x = 94,356,462.49

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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.