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Finding the Third Proportional to 273,768,317,871.75 and 402,451,571,963.45

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Solution

The third proportional to 273,768,317,871.75 and 402,451,571,963.45 is: 591,621,664,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,768,317,871.75 : 402,451,571,963.45 = 402,451,571,963.45 : x
  2. Step 2: Convert to fraction form
    273,768,317,871.75/402,451,571,963.45 = 402,451,571,963.45/x
  3. Step 3: Cross multiply
    273,768,317,871.75x = 402,451,571,963.45 × 402,451,571,963.45
  4. Step 4: Simplify right side
    273,768,317,871.75x = 161,967,267,775,851,979,079,680
  5. Step 5: Solve for x
    x = 161,967,267,775,851,979,079,680/273,768,317,871.75
  6. Step 6: Final answer
    x = 591,621,664,022.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.