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Finding the Third Proportional to 7,719,039 and 16,436,443

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Solution

The third proportional to 7,719,039 and 16,436,443 is: 34,998,742.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,719,039 : 16,436,443 = 16,436,443 : x
  2. Step 2: Convert to fraction form
    7,719,039/16,436,443 = 16,436,443/x
  3. Step 3: Cross multiply
    7,719,039x = 16,436,443 × 16,436,443
  4. Step 4: Simplify right side
    7,719,039x = 270,156,658,492,249
  5. Step 5: Solve for x
    x = 270,156,658,492,249/7,719,039
  6. Step 6: Final answer
    x = 34,998,742.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.