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Finding the Third Proportional to 64,649,123 and 143,647,150

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Solution

The third proportional to 64,649,123 and 143,647,150 is: 319,176,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,649,123 : 143,647,150 = 143,647,150 : x
  2. Step 2: Convert to fraction form
    64,649,123/143,647,150 = 143,647,150/x
  3. Step 3: Cross multiply
    64,649,123x = 143,647,150 × 143,647,150
  4. Step 4: Simplify right side
    64,649,123x = 20,634,503,703,122,500
  5. Step 5: Solve for x
    x = 20,634,503,703,122,500/64,649,123
  6. Step 6: Final answer
    x = 319,176,854.16

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.