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Finding the Third Proportional to 12,477,142,354 and 27,743,995,664

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Solution

The third proportional to 12,477,142,354 and 27,743,995,664 is: 61,691,152,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477,142,354 : 27,743,995,664 = 27,743,995,664 : x
  2. Step 2: Convert to fraction form
    12,477,142,354/27,743,995,664 = 27,743,995,664/x
  3. Step 3: Cross multiply
    12,477,142,354x = 27,743,995,664 × 27,743,995,664
  4. Step 4: Simplify right side
    12,477,142,354x = 769,729,295,404,050,808,832
  5. Step 5: Solve for x
    x = 769,729,295,404,050,808,832/12,477,142,354
  6. Step 6: Final answer
    x = 61,691,152,794.88

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Why These Related Problems?

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