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Finding the Third Proportional to 80,576,782 and 164,116,522

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Solution

The third proportional to 80,576,782 and 164,116,522 is: 334,267,913.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,576,782 : 164,116,522 = 164,116,522 : x
  2. Step 2: Convert to fraction form
    80,576,782/164,116,522 = 164,116,522/x
  3. Step 3: Cross multiply
    80,576,782x = 164,116,522 × 164,116,522
  4. Step 4: Simplify right side
    80,576,782x = 26,934,232,793,376,484
  5. Step 5: Solve for x
    x = 26,934,232,793,376,484/80,576,782
  6. Step 6: Final answer
    x = 334,267,913.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.