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Finding the Third Proportional to 4,847,406 and 7,516,080

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Solution

The third proportional to 4,847,406 and 7,516,080 is: 11,653,956.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847,406 : 7,516,080 = 7,516,080 : x
  2. Step 2: Convert to fraction form
    4,847,406/7,516,080 = 7,516,080/x
  3. Step 3: Cross multiply
    4,847,406x = 7,516,080 × 7,516,080
  4. Step 4: Simplify right side
    4,847,406x = 56,491,458,566,400
  5. Step 5: Solve for x
    x = 56,491,458,566,400/4,847,406
  6. Step 6: Final answer
    x = 11,653,956.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.