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Finding the Third Proportional to 38,579,934 and 83,217,224

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Solution

The third proportional to 38,579,934 and 83,217,224 is: 179,500,212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,579,934 : 83,217,224 = 83,217,224 : x
  2. Step 2: Convert to fraction form
    38,579,934/83,217,224 = 83,217,224/x
  3. Step 3: Cross multiply
    38,579,934x = 83,217,224 × 83,217,224
  4. Step 4: Simplify right side
    38,579,934x = 6,925,106,370,266,176
  5. Step 5: Solve for x
    x = 6,925,106,370,266,176/38,579,934
  6. Step 6: Final answer
    x = 179,500,212.99

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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.