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Finding the Third Proportional to 80,551,855,297 and 126,362,089,965

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Solution

The third proportional to 80,551,855,297 and 126,362,089,965 is: 198,224,829,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,551,855,297 : 126,362,089,965 = 126,362,089,965 : x
  2. Step 2: Convert to fraction form
    80,551,855,297/126,362,089,965 = 126,362,089,965/x
  3. Step 3: Cross multiply
    80,551,855,297x = 126,362,089,965 × 126,362,089,965
  4. Step 4: Simplify right side
    80,551,855,297x = 15,967,377,780,322,754,101,248
  5. Step 5: Solve for x
    x = 15,967,377,780,322,754,101,248/80,551,855,297
  6. Step 6: Final answer
    x = 198,224,829,477.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.