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Finding the Third Proportional to 23,709,393,866 and 51,551,115,489

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Solution

The third proportional to 23,709,393,866 and 51,551,115,489 is: 112,087,112,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,709,393,866 : 51,551,115,489 = 51,551,115,489 : x
  2. Step 2: Convert to fraction form
    23,709,393,866/51,551,115,489 = 51,551,115,489/x
  3. Step 3: Cross multiply
    23,709,393,866x = 51,551,115,489 × 51,551,115,489
  4. Step 4: Simplify right side
    23,709,393,866x = 2,657,517,508,160,215,580,672
  5. Step 5: Solve for x
    x = 2,657,517,508,160,215,580,672/23,709,393,866
  6. Step 6: Final answer
    x = 112,087,112,946.87

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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.