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Finding the Third Proportional to 38,623,362 and 83,889,738

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Solution

The third proportional to 38,623,362 and 83,889,738 is: 182,208,067.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,623,362 : 83,889,738 = 83,889,738 : x
  2. Step 2: Convert to fraction form
    38,623,362/83,889,738 = 83,889,738/x
  3. Step 3: Cross multiply
    38,623,362x = 83,889,738 × 83,889,738
  4. Step 4: Simplify right side
    38,623,362x = 7,037,488,141,708,644
  5. Step 5: Solve for x
    x = 7,037,488,141,708,644/38,623,362
  6. Step 6: Final answer
    x = 182,208,067.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.