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Finding the Third Proportional to 38,579,936 and 83,217,228

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Solution

The third proportional to 38,579,936 and 83,217,228 is: 179,500,220.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,579,936 : 83,217,228 = 83,217,228 : x
  2. Step 2: Convert to fraction form
    38,579,936/83,217,228 = 83,217,228/x
  3. Step 3: Cross multiply
    38,579,936x = 83,217,228 × 83,217,228
  4. Step 4: Simplify right side
    38,579,936x = 6,925,107,036,003,984
  5. Step 5: Solve for x
    x = 6,925,107,036,003,984/38,579,936
  6. Step 6: Final answer
    x = 179,500,220.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.