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Finding the Third Proportional to 14,166,426,150 and 21,171,560,409

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Solution

The third proportional to 14,166,426,150 and 21,171,560,409 is: 31,640,652,723.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,166,426,150 : 21,171,560,409 = 21,171,560,409 : x
  2. Step 2: Convert to fraction form
    14,166,426,150/21,171,560,409 = 21,171,560,409/x
  3. Step 3: Cross multiply
    14,166,426,150x = 21,171,560,409 × 21,171,560,409
  4. Step 4: Simplify right side
    14,166,426,150x = 448,234,970,151,936,262,144
  5. Step 5: Solve for x
    x = 448,234,970,151,936,262,144/14,166,426,150
  6. Step 6: Final answer
    x = 31,640,652,723.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.