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Finding the Third Proportional to 467,649,139.75 and 653,801,022

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Solution

The third proportional to 467,649,139.75 and 653,801,022 is: 914,052,309.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,649,139.75 : 653,801,022 = 653,801,022 : x
  2. Step 2: Convert to fraction form
    467,649,139.75/653,801,022 = 653,801,022/x
  3. Step 3: Cross multiply
    467,649,139.75x = 653,801,022 × 653,801,022
  4. Step 4: Simplify right side
    467,649,139.75x = 427,455,776,368,244,480
  5. Step 5: Solve for x
    x = 427,455,776,368,244,480/467,649,139.75
  6. Step 6: Final answer
    x = 914,052,309.81

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.