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Finding the Third Proportional to 668,509,032 and 1,466,158,416

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Solution

The third proportional to 668,509,032 and 1,466,158,416 is: 3,215,544,439.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,509,032 : 1,466,158,416 = 1,466,158,416 : x
  2. Step 2: Convert to fraction form
    668,509,032/1,466,158,416 = 1,466,158,416/x
  3. Step 3: Cross multiply
    668,509,032x = 1,466,158,416 × 1,466,158,416
  4. Step 4: Simplify right side
    668,509,032x = 2,149,620,500,807,629,056
  5. Step 5: Solve for x
    x = 2,149,620,500,807,629,056/668,509,032
  6. Step 6: Final answer
    x = 3,215,544,439.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.