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Finding the Third Proportional to 667,493,601.75 and 981,949,830.75

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Solution

The third proportional to 667,493,601.75 and 981,949,830.75 is: 1,444,546,386.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,493,601.75 : 981,949,830.75 = 981,949,830.75 : x
  2. Step 2: Convert to fraction form
    667,493,601.75/981,949,830.75 = 981,949,830.75/x
  3. Step 3: Cross multiply
    667,493,601.75x = 981,949,830.75 × 981,949,830.75
  4. Step 4: Simplify right side
    667,493,601.75x = 964,225,470,109,953,664
  5. Step 5: Solve for x
    x = 964,225,470,109,953,664/667,493,601.75
  6. Step 6: Final answer
    x = 1,444,546,386.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.