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Finding the Third Proportional to 10,110,909,994.50 and 21,981,677,918.50

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Solution

The third proportional to 10,110,909,994.50 and 21,981,677,918.50 is: 47,789,384,375.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,110,909,994.50 : 21,981,677,918.50 = 21,981,677,918.50 : x
  2. Step 2: Convert to fraction form
    10,110,909,994.50/21,981,677,918.50 = 21,981,677,918.50/x
  3. Step 3: Cross multiply
    10,110,909,994.50x = 21,981,677,918.50 × 21,981,677,918.50
  4. Step 4: Simplify right side
    10,110,909,994.50x = 483,194,164,112,670,523,392
  5. Step 5: Solve for x
    x = 483,194,164,112,670,523,392/10,110,909,994.50
  6. Step 6: Final answer
    x = 47,789,384,375.44

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