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Finding the Third Proportional to 24,858,684,456 and 53,263,143,266

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Solution

The third proportional to 24,858,684,456 and 53,263,143,266 is: 114,123,594,737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,858,684,456 : 53,263,143,266 = 53,263,143,266 : x
  2. Step 2: Convert to fraction form
    24,858,684,456/53,263,143,266 = 53,263,143,266/x
  3. Step 3: Cross multiply
    24,858,684,456x = 53,263,143,266 × 53,263,143,266
  4. Step 4: Simplify right side
    24,858,684,456x = 2,836,962,430,574,441,005,056
  5. Step 5: Solve for x
    x = 2,836,962,430,574,441,005,056/24,858,684,456
  6. Step 6: Final answer
    x = 114,123,594,737.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.