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Finding the Third Proportional to 23,709,393,877 and 51,551,115,510

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Solution

The third proportional to 23,709,393,877 and 51,551,115,510 is: 112,087,112,986.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,709,393,877 : 51,551,115,510 = 51,551,115,510 : x
  2. Step 2: Convert to fraction form
    23,709,393,877/51,551,115,510 = 51,551,115,510/x
  3. Step 3: Cross multiply
    23,709,393,877x = 51,551,115,510 × 51,551,115,510
  4. Step 4: Simplify right side
    23,709,393,877x = 2,657,517,510,325,362,491,392
  5. Step 5: Solve for x
    x = 2,657,517,510,325,362,491,392/23,709,393,877
  6. Step 6: Final answer
    x = 112,087,112,986.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.