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Finding the Third Proportional to 6,497,648 and 10,100,852

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Solution

The third proportional to 6,497,648 and 10,100,852 is: 15,702,175.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497,648 : 10,100,852 = 10,100,852 : x
  2. Step 2: Convert to fraction form
    6,497,648/10,100,852 = 10,100,852/x
  3. Step 3: Cross multiply
    6,497,648x = 10,100,852 × 10,100,852
  4. Step 4: Simplify right side
    6,497,648x = 102,027,211,125,904
  5. Step 5: Solve for x
    x = 102,027,211,125,904/6,497,648
  6. Step 6: Final answer
    x = 15,702,175.79

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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.