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Finding the Third Proportional to 47,374,149,995 and 105,340,483,777

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Solution

The third proportional to 47,374,149,995 and 105,340,483,777 is: 234,233,596,244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,374,149,995 : 105,340,483,777 = 105,340,483,777 : x
  2. Step 2: Convert to fraction form
    47,374,149,995/105,340,483,777 = 105,340,483,777/x
  3. Step 3: Cross multiply
    47,374,149,995x = 105,340,483,777 × 105,340,483,777
  4. Step 4: Simplify right side
    47,374,149,995x = 11,096,617,522,372,399,857,664
  5. Step 5: Solve for x
    x = 11,096,617,522,372,399,857,664/47,374,149,995
  6. Step 6: Final answer
    x = 234,233,596,244.86

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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.