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Finding the Third Proportional to 651,236,185,223.60 and 985,230,067,497.90

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Solution

The third proportional to 651,236,185,223.60 and 985,230,067,497.90 is: 1,490,516,509,872.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,236,185,223.60 : 985,230,067,497.90 = 985,230,067,497.90 : x
  2. Step 2: Convert to fraction form
    651,236,185,223.60/985,230,067,497.90 = 985,230,067,497.90/x
  3. Step 3: Cross multiply
    651,236,185,223.60x = 985,230,067,497.90 × 985,230,067,497.90
  4. Step 4: Simplify right side
    651,236,185,223.60x = 970,678,285,901,916,589,260,800
  5. Step 5: Solve for x
    x = 970,678,285,901,916,589,260,800/651,236,185,223.60
  6. Step 6: Final answer
    x = 1,490,516,509,872.12

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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.