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Finding the Third Proportional to 6,367,099 and 13,742,517

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Solution

The third proportional to 6,367,099 and 13,742,517 is: 29,661,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367,099 : 13,742,517 = 13,742,517 : x
  2. Step 2: Convert to fraction form
    6,367,099/13,742,517 = 13,742,517/x
  3. Step 3: Cross multiply
    6,367,099x = 13,742,517 × 13,742,517
  4. Step 4: Simplify right side
    6,367,099x = 188,856,773,495,289
  5. Step 5: Solve for x
    x = 188,856,773,495,289/6,367,099
  6. Step 6: Final answer
    x = 29,661,353.39

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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.