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Finding the Third Proportional to 12,477,142,364 and 27,743,995,680

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Solution

The third proportional to 12,477,142,364 and 27,743,995,680 is: 61,691,152,816.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477,142,364 : 27,743,995,680 = 27,743,995,680 : x
  2. Step 2: Convert to fraction form
    12,477,142,364/27,743,995,680 = 27,743,995,680/x
  3. Step 3: Cross multiply
    12,477,142,364x = 27,743,995,680 × 27,743,995,680
  4. Step 4: Simplify right side
    12,477,142,364x = 769,729,296,291,858,612,224
  5. Step 5: Solve for x
    x = 769,729,296,291,858,612,224/12,477,142,364
  6. Step 6: Final answer
    x = 61,691,152,816.59

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.