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Finding the Third Proportional to 35,285,106 and 75,976,839

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Solution

The third proportional to 35,285,106 and 75,976,839 is: 163,595,372.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,285,106 : 75,976,839 = 75,976,839 : x
  2. Step 2: Convert to fraction form
    35,285,106/75,976,839 = 75,976,839/x
  3. Step 3: Cross multiply
    35,285,106x = 75,976,839 × 75,976,839
  4. Step 4: Simplify right side
    35,285,106x = 5,772,480,064,431,921
  5. Step 5: Solve for x
    x = 5,772,480,064,431,921/35,285,106
  6. Step 6: Final answer
    x = 163,595,372.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.