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Finding the Third Proportional to 6,942,996 and 14,224,248

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Solution

The third proportional to 6,942,996 and 14,224,248 is: 29,141,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942,996 : 14,224,248 = 14,224,248 : x
  2. Step 2: Convert to fraction form
    6,942,996/14,224,248 = 14,224,248/x
  3. Step 3: Cross multiply
    6,942,996x = 14,224,248 × 14,224,248
  4. Step 4: Simplify right side
    6,942,996x = 202,329,231,165,504
  5. Step 5: Solve for x
    x = 202,329,231,165,504/6,942,996
  6. Step 6: Final answer
    x = 29,141,487.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.