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Finding the Third Proportional to 4,684,156 and 6,987,374

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Solution

The third proportional to 4,684,156 and 6,987,374 is: 10,423,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684,156 : 6,987,374 = 6,987,374 : x
  2. Step 2: Convert to fraction form
    4,684,156/6,987,374 = 6,987,374/x
  3. Step 3: Cross multiply
    4,684,156x = 6,987,374 × 6,987,374
  4. Step 4: Simplify right side
    4,684,156x = 48,823,395,415,876
  5. Step 5: Solve for x
    x = 48,823,395,415,876/4,684,156
  6. Step 6: Final answer
    x = 10,423,093.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.