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Finding the Third Proportional to 4,164,840,891 and 9,008,994,152

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Solution

The third proportional to 4,164,840,891 and 9,008,994,152 is: 19,487,413,266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164,840,891 : 9,008,994,152 = 9,008,994,152 : x
  2. Step 2: Convert to fraction form
    4,164,840,891/9,008,994,152 = 9,008,994,152/x
  3. Step 3: Cross multiply
    4,164,840,891x = 9,008,994,152 × 9,008,994,152
  4. Step 4: Simplify right side
    4,164,840,891x = 81,161,975,630,770,192,384
  5. Step 5: Solve for x
    x = 81,161,975,630,770,192,384/4,164,840,891
  6. Step 6: Final answer
    x = 19,487,413,266.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.