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Finding the Third Proportional to 80,551,855,295 and 126,362,089,962

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Solution

The third proportional to 80,551,855,295 and 126,362,089,962 is: 198,224,829,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,551,855,295 : 126,362,089,962 = 126,362,089,962 : x
  2. Step 2: Convert to fraction form
    80,551,855,295/126,362,089,962 = 126,362,089,962/x
  3. Step 3: Cross multiply
    80,551,855,295x = 126,362,089,962 × 126,362,089,962
  4. Step 4: Simplify right side
    80,551,855,295x = 15,967,377,779,564,581,224,448
  5. Step 5: Solve for x
    x = 15,967,377,779,564,581,224,448/80,551,855,295
  6. Step 6: Final answer
    x = 198,224,829,472.75

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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.