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Finding the Third Proportional to 29,965,611 and 65,763,864

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Solution

The third proportional to 29,965,611 and 65,763,864 is: 144,328,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,965,611 : 65,763,864 = 65,763,864 : x
  2. Step 2: Convert to fraction form
    29,965,611/65,763,864 = 65,763,864/x
  3. Step 3: Cross multiply
    29,965,611x = 65,763,864 × 65,763,864
  4. Step 4: Simplify right side
    29,965,611x = 4,324,885,808,210,496
  5. Step 5: Solve for x
    x = 4,324,885,808,210,496/29,965,611
  6. Step 6: Final answer
    x = 144,328,303.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.