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Finding the Third Proportional to 444,672,499.50 and 965,893,801.50

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Solution

The third proportional to 444,672,499.50 and 965,893,801.50 is: 2,098,062,814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,672,499.50 : 965,893,801.50 = 965,893,801.50 : x
  2. Step 2: Convert to fraction form
    444,672,499.50/965,893,801.50 = 965,893,801.50/x
  3. Step 3: Cross multiply
    444,672,499.50x = 965,893,801.50 × 965,893,801.50
  4. Step 4: Simplify right side
    444,672,499.50x = 932,950,835,776,121,344
  5. Step 5: Solve for x
    x = 932,950,835,776,121,344/444,672,499.50
  6. Step 6: Final answer
    x = 2,098,062,814.37

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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.