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Finding the Third Proportional to 3,508,037,768 and 4,765,816,236

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Solution

The third proportional to 3,508,037,768 and 4,765,816,236 is: 6,474,560,964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508,037,768 : 4,765,816,236 = 4,765,816,236 : x
  2. Step 2: Convert to fraction form
    3,508,037,768/4,765,816,236 = 4,765,816,236/x
  3. Step 3: Cross multiply
    3,508,037,768x = 4,765,816,236 × 4,765,816,236
  4. Step 4: Simplify right side
    3,508,037,768x = 22,713,004,395,321,208,832
  5. Step 5: Solve for x
    x = 22,713,004,395,321,208,832/3,508,037,768
  6. Step 6: Final answer
    x = 6,474,560,964.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.