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Finding the Third Proportional to 38,427,219 and 83,677,347

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Solution

The third proportional to 38,427,219 and 83,677,347 is: 182,211,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,427,219 : 83,677,347 = 83,677,347 : x
  2. Step 2: Convert to fraction form
    38,427,219/83,677,347 = 83,677,347/x
  3. Step 3: Cross multiply
    38,427,219x = 83,677,347 × 83,677,347
  4. Step 4: Simplify right side
    38,427,219x = 7,001,898,400,958,409
  5. Step 5: Solve for x
    x = 7,001,898,400,958,409/38,427,219
  6. Step 6: Final answer
    x = 182,211,947.24

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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.