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Finding the Third Proportional to 659,763,543 and 968,077,476

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Solution

The third proportional to 659,763,543 and 968,077,476 is: 1,420,469,514.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,763,543 : 968,077,476 = 968,077,476 : x
  2. Step 2: Convert to fraction form
    659,763,543/968,077,476 = 968,077,476/x
  3. Step 3: Cross multiply
    659,763,543x = 968,077,476 × 968,077,476
  4. Step 4: Simplify right side
    659,763,543x = 937,173,999,538,530,560
  5. Step 5: Solve for x
    x = 937,173,999,538,530,560/659,763,543
  6. Step 6: Final answer
    x = 1,420,469,514.39

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Why These Related Problems?

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