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Finding the Third Proportional to 3,015,678 and 6,503,742

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Solution

The third proportional to 3,015,678 and 6,503,742 is: 14,026,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015,678 : 6,503,742 = 6,503,742 : x
  2. Step 2: Convert to fraction form
    3,015,678/6,503,742 = 6,503,742/x
  3. Step 3: Cross multiply
    3,015,678x = 6,503,742 × 6,503,742
  4. Step 4: Simplify right side
    3,015,678x = 42,298,660,002,564
  5. Step 5: Solve for x
    x = 42,298,660,002,564/3,015,678
  6. Step 6: Final answer
    x = 14,026,252.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.