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Finding the Third Proportional to 283,153,104 and 667,470,592.50

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Solution

The third proportional to 283,153,104 and 667,470,592.50 is: 1,573,413,766.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,153,104 : 667,470,592.50 = 667,470,592.50 : x
  2. Step 2: Convert to fraction form
    283,153,104/667,470,592.50 = 667,470,592.50/x
  3. Step 3: Cross multiply
    283,153,104x = 667,470,592.50 × 667,470,592.50
  4. Step 4: Simplify right side
    283,153,104x = 445,516,991,852,301,056
  5. Step 5: Solve for x
    x = 445,516,991,852,301,056/283,153,104
  6. Step 6: Final answer
    x = 1,573,413,766.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.