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Finding the Third Proportional to 6,509,172,444 and 14,127,993,696

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Solution

The third proportional to 6,509,172,444 and 14,127,993,696 is: 30,664,451,985.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509,172,444 : 14,127,993,696 = 14,127,993,696 : x
  2. Step 2: Convert to fraction form
    6,509,172,444/14,127,993,696 = 14,127,993,696/x
  3. Step 3: Cross multiply
    6,509,172,444x = 14,127,993,696 × 14,127,993,696
  4. Step 4: Simplify right side
    6,509,172,444x = 199,600,205,874,215,747,584
  5. Step 5: Solve for x
    x = 199,600,205,874,215,747,584/6,509,172,444
  6. Step 6: Final answer
    x = 30,664,451,985.48

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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.