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Finding the Third Proportional to 667,493,605.50 and 981,949,837.50

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Solution

The third proportional to 667,493,605.50 and 981,949,837.50 is: 1,444,546,397.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,493,605.50 : 981,949,837.50 = 981,949,837.50 : x
  2. Step 2: Convert to fraction form
    667,493,605.50/981,949,837.50 = 981,949,837.50/x
  3. Step 3: Cross multiply
    667,493,605.50x = 981,949,837.50 × 981,949,837.50
  4. Step 4: Simplify right side
    667,493,605.50x = 964,225,483,366,276,352
  5. Step 5: Solve for x
    x = 964,225,483,366,276,352/667,493,605.50
  6. Step 6: Final answer
    x = 1,444,546,397.78

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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.