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Finding the Third Proportional to 2,397,733,472,351 and 5,177,624,076,301

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Solution

The third proportional to 2,397,733,472,351 and 5,177,624,076,301 is: 11,180,471,634,825.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397,733,472,351 : 5,177,624,076,301 = 5,177,624,076,301 : x
  2. Step 2: Convert to fraction form
    2,397,733,472,351/5,177,624,076,301 = 5,177,624,076,301/x
  3. Step 3: Cross multiply
    2,397,733,472,351x = 5,177,624,076,301 × 5,177,624,076,301
  4. Step 4: Simplify right side
    2,397,733,472,351x = 26,807,791,075,491,783,947,321,344
  5. Step 5: Solve for x
    x = 26,807,791,075,491,783,947,321,344/2,397,733,472,351
  6. Step 6: Final answer
    x = 11,180,471,634,825.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.