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Finding the Third Proportional to 659,763,544.50 and 968,077,478.25

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Solution

The third proportional to 659,763,544.50 and 968,077,478.25 is: 1,420,469,517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,763,544.50 : 968,077,478.25 = 968,077,478.25 : x
  2. Step 2: Convert to fraction form
    659,763,544.50/968,077,478.25 = 968,077,478.25/x
  3. Step 3: Cross multiply
    659,763,544.50x = 968,077,478.25 × 968,077,478.25
  4. Step 4: Simplify right side
    659,763,544.50x = 937,174,003,894,879,232
  5. Step 5: Solve for x
    x = 937,174,003,894,879,232/659,763,544.50
  6. Step 6: Final answer
    x = 1,420,469,517.77

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.