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Finding the Third Proportional to 892,136,943 and 1,932,519,438

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Solution

The third proportional to 892,136,943 and 1,932,519,438 is: 4,186,163,803.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,136,943 : 1,932,519,438 = 1,932,519,438 : x
  2. Step 2: Convert to fraction form
    892,136,943/1,932,519,438 = 1,932,519,438/x
  3. Step 3: Cross multiply
    892,136,943x = 1,932,519,438 × 1,932,519,438
  4. Step 4: Simplify right side
    892,136,943x = 3,734,631,378,247,835,648
  5. Step 5: Solve for x
    x = 3,734,631,378,247,835,648/892,136,943
  6. Step 6: Final answer
    x = 4,186,163,803.16

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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.