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Finding the Third Proportional to 941,118,183 and 1,423,781,311.50

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Solution

The third proportional to 941,118,183 and 1,423,781,311.50 is: 2,153,983,696.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    941,118,183 : 1,423,781,311.50 = 1,423,781,311.50 : x
  2. Step 2: Convert to fraction form
    941,118,183/1,423,781,311.50 = 1,423,781,311.50/x
  3. Step 3: Cross multiply
    941,118,183x = 1,423,781,311.50 × 1,423,781,311.50
  4. Step 4: Simplify right side
    941,118,183x = 2,027,153,222,976,659,968
  5. Step 5: Solve for x
    x = 2,027,153,222,976,659,968/941,118,183
  6. Step 6: Final answer
    x = 2,153,983,696.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.