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Finding the Third Proportional to 6,509,172,446 and 14,127,993,700

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Solution

The third proportional to 6,509,172,446 and 14,127,993,700 is: 30,664,451,993.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509,172,446 : 14,127,993,700 = 14,127,993,700 : x
  2. Step 2: Convert to fraction form
    6,509,172,446/14,127,993,700 = 14,127,993,700/x
  3. Step 3: Cross multiply
    6,509,172,446x = 14,127,993,700 × 14,127,993,700
  4. Step 4: Simplify right side
    6,509,172,446x = 199,600,205,987,239,690,240
  5. Step 5: Solve for x
    x = 199,600,205,987,239,690,240/6,509,172,446
  6. Step 6: Final answer
    x = 30,664,451,993.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.