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Finding the Third Proportional to 3,107,369,223 and 6,656,862,366

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Solution

The third proportional to 3,107,369,223 and 6,656,862,366 is: 14,260,879,020.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107,369,223 : 6,656,862,366 = 6,656,862,366 : x
  2. Step 2: Convert to fraction form
    3,107,369,223/6,656,862,366 = 6,656,862,366/x
  3. Step 3: Cross multiply
    3,107,369,223x = 6,656,862,366 × 6,656,862,366
  4. Step 4: Simplify right side
    3,107,369,223x = 44,313,816,559,867,117,568
  5. Step 5: Solve for x
    x = 44,313,816,559,867,117,568/3,107,369,223
  6. Step 6: Final answer
    x = 14,260,879,020.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.