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Finding the Third Proportional to 70,661,660 and 106,346,286

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Solution

The third proportional to 70,661,660 and 106,346,286 is: 160,051,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,661,660 : 106,346,286 = 106,346,286 : x
  2. Step 2: Convert to fraction form
    70,661,660/106,346,286 = 106,346,286/x
  3. Step 3: Cross multiply
    70,661,660x = 106,346,286 × 106,346,286
  4. Step 4: Simplify right side
    70,661,660x = 11,309,532,545,993,796
  5. Step 5: Solve for x
    x = 11,309,532,545,993,796/70,661,660
  6. Step 6: Final answer
    x = 160,051,894.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.