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Finding the Third Proportional to 5,836,872 and 12,773,306

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Solution

The third proportional to 5,836,872 and 12,773,306 is: 27,952,873.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836,872 : 12,773,306 = 12,773,306 : x
  2. Step 2: Convert to fraction form
    5,836,872/12,773,306 = 12,773,306/x
  3. Step 3: Cross multiply
    5,836,872x = 12,773,306 × 12,773,306
  4. Step 4: Simplify right side
    5,836,872x = 163,157,346,169,636
  5. Step 5: Solve for x
    x = 163,157,346,169,636/5,836,872
  6. Step 6: Final answer
    x = 27,952,873.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.