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Finding the Third Proportional to 851,432,544 and 1,835,764,704

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Solution

The third proportional to 851,432,544 and 1,835,764,704 is: 3,958,072,864.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,432,544 : 1,835,764,704 = 1,835,764,704 : x
  2. Step 2: Convert to fraction form
    851,432,544/1,835,764,704 = 1,835,764,704/x
  3. Step 3: Cross multiply
    851,432,544x = 1,835,764,704 × 1,835,764,704
  4. Step 4: Simplify right side
    851,432,544x = 3,370,032,048,452,207,616
  5. Step 5: Solve for x
    x = 3,370,032,048,452,207,616/851,432,544
  6. Step 6: Final answer
    x = 3,958,072,864.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.