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Finding the Third Proportional to 3,113,742 and 6,739,248

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Solution

The third proportional to 3,113,742 and 6,739,248 is: 14,586,135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,113,742 : 6,739,248 = 6,739,248 : x
  2. Step 2: Convert to fraction form
    3,113,742/6,739,248 = 6,739,248/x
  3. Step 3: Cross multiply
    3,113,742x = 6,739,248 × 6,739,248
  4. Step 4: Simplify right side
    3,113,742x = 45,417,463,605,504
  5. Step 5: Solve for x
    x = 45,417,463,605,504/3,113,742
  6. Step 6: Final answer
    x = 14,586,135.78

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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.