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Finding the Third Proportional to 892,151,497 and 1,932,577,480

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Solution

The third proportional to 892,151,497 and 1,932,577,480 is: 4,186,346,969.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,151,497 : 1,932,577,480 = 1,932,577,480 : x
  2. Step 2: Convert to fraction form
    892,151,497/1,932,577,480 = 1,932,577,480/x
  3. Step 3: Cross multiply
    892,151,497x = 1,932,577,480 × 1,932,577,480
  4. Step 4: Simplify right side
    892,151,497x = 3,734,855,716,203,150,336
  5. Step 5: Solve for x
    x = 3,734,855,716,203,150,336/892,151,497
  6. Step 6: Final answer
    x = 4,186,346,969.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.