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Finding the Third Proportional to 35,949,902,193 and 78,157,077,025.50

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Solution

The third proportional to 35,949,902,193 and 78,157,077,025.50 is: 169,917,811,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,949,902,193 : 78,157,077,025.50 = 78,157,077,025.50 : x
  2. Step 2: Convert to fraction form
    35,949,902,193/78,157,077,025.50 = 78,157,077,025.50/x
  3. Step 3: Cross multiply
    35,949,902,193x = 78,157,077,025.50 × 78,157,077,025.50
  4. Step 4: Simplify right side
    35,949,902,193x = 6,108,528,689,169,940,086,784
  5. Step 5: Solve for x
    x = 6,108,528,689,169,940,086,784/35,949,902,193
  6. Step 6: Final answer
    x = 169,917,811,079.87

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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.