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Finding the Third Proportional to 851,253,270 and 1,282,968,636

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Solution

The third proportional to 851,253,270 and 1,282,968,636 is: 1,933,629,601.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,253,270 : 1,282,968,636 = 1,282,968,636 : x
  2. Step 2: Convert to fraction form
    851,253,270/1,282,968,636 = 1,282,968,636/x
  3. Step 3: Cross multiply
    851,253,270x = 1,282,968,636 × 1,282,968,636
  4. Step 4: Simplify right side
    851,253,270x = 1,646,008,520,959,700,480
  5. Step 5: Solve for x
    x = 1,646,008,520,959,700,480/851,253,270
  6. Step 6: Final answer
    x = 1,933,629,601.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.