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Finding the Third Proportional to 918,844,568 and 2,016,226,664

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Solution

The third proportional to 918,844,568 and 2,016,226,664 is: 4,424,219,397.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    918,844,568 : 2,016,226,664 = 2,016,226,664 : x
  2. Step 2: Convert to fraction form
    918,844,568/2,016,226,664 = 2,016,226,664/x
  3. Step 3: Cross multiply
    918,844,568x = 2,016,226,664 × 2,016,226,664
  4. Step 4: Simplify right side
    918,844,568x = 4,065,169,960,624,568,832
  5. Step 5: Solve for x
    x = 4,065,169,960,624,568,832/918,844,568
  6. Step 6: Final answer
    x = 4,424,219,397.06

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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.