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Finding the Third Proportional to 16,505,615,085 and 35,752,006,939.50

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Solution

The third proportional to 16,505,615,085 and 35,752,006,939.50 is: 77,440,676,619.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505,615,085 : 35,752,006,939.50 = 35,752,006,939.50 : x
  2. Step 2: Convert to fraction form
    16,505,615,085/35,752,006,939.50 = 35,752,006,939.50/x
  3. Step 3: Cross multiply
    16,505,615,085x = 35,752,006,939.50 × 35,752,006,939.50
  4. Step 4: Simplify right side
    16,505,615,085x = 1,278,206,000,202,056,204,288
  5. Step 5: Solve for x
    x = 1,278,206,000,202,056,204,288/16,505,615,085
  6. Step 6: Final answer
    x = 77,440,676,619.42

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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.