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Finding the Third Proportional to 38,717,137 and 84,262,085

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Solution

The third proportional to 38,717,137 and 84,262,085 is: 183,383,884.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,717,137 : 84,262,085 = 84,262,085 : x
  2. Step 2: Convert to fraction form
    38,717,137/84,262,085 = 84,262,085/x
  3. Step 3: Cross multiply
    38,717,137x = 84,262,085 × 84,262,085
  4. Step 4: Simplify right side
    38,717,137x = 7,100,098,968,547,225
  5. Step 5: Solve for x
    x = 7,100,098,968,547,225/38,717,137
  6. Step 6: Final answer
    x = 183,383,884.21

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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.