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Finding the Third Proportional to 23,914,158,405 and 51,377,254,893

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Solution

The third proportional to 23,914,158,405 and 51,377,254,893 is: 110,379,059,786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,914,158,405 : 51,377,254,893 = 51,377,254,893 : x
  2. Step 2: Convert to fraction form
    23,914,158,405/51,377,254,893 = 51,377,254,893/x
  3. Step 3: Cross multiply
    23,914,158,405x = 51,377,254,893 × 51,377,254,893
  4. Step 4: Simplify right side
    23,914,158,405x = 2,639,622,320,340,292,599,808
  5. Step 5: Solve for x
    x = 2,639,622,320,340,292,599,808/23,914,158,405
  6. Step 6: Final answer
    x = 110,379,059,786.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.