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Finding the Third Proportional to 474,737,738,978.25 and 640,532,675,709.75

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Solution

The third proportional to 474,737,738,978.25 and 640,532,675,709.75 is: 864,228,973,106.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,737,738,978.25 : 640,532,675,709.75 = 640,532,675,709.75 : x
  2. Step 2: Convert to fraction form
    474,737,738,978.25/640,532,675,709.75 = 640,532,675,709.75/x
  3. Step 3: Cross multiply
    474,737,738,978.25x = 640,532,675,709.75 × 640,532,675,709.75
  4. Step 4: Simplify right side
    474,737,738,978.25x = 410,282,108,651,891,744,309,248
  5. Step 5: Solve for x
    x = 410,282,108,651,891,744,309,248/474,737,738,978.25
  6. Step 6: Final answer
    x = 864,228,973,106.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.