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Finding the Third Proportional to 3,479,464 and 7,497,784

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Solution

The third proportional to 3,479,464 and 7,497,784 is: 16,156,731.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,479,464 : 7,497,784 = 7,497,784 : x
  2. Step 2: Convert to fraction form
    3,479,464/7,497,784 = 7,497,784/x
  3. Step 3: Cross multiply
    3,479,464x = 7,497,784 × 7,497,784
  4. Step 4: Simplify right side
    3,479,464x = 56,216,764,910,656
  5. Step 5: Solve for x
    x = 56,216,764,910,656/3,479,464
  6. Step 6: Final answer
    x = 16,156,731.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.