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Finding the Third Proportional to 34,467,827 and 74,680,087

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Solution

The third proportional to 34,467,827 and 74,680,087 is: 161,806,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,467,827 : 74,680,087 = 74,680,087 : x
  2. Step 2: Convert to fraction form
    34,467,827/74,680,087 = 74,680,087/x
  3. Step 3: Cross multiply
    34,467,827x = 74,680,087 × 74,680,087
  4. Step 4: Simplify right side
    34,467,827x = 5,577,115,394,327,569
  5. Step 5: Solve for x
    x = 5,577,115,394,327,569/34,467,827
  6. Step 6: Final answer
    x = 161,806,411.36

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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.