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Finding the Third Proportional to 7,527,468 and 16,299,096

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Solution

The third proportional to 7,527,468 and 16,299,096 is: 35,292,150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,527,468 : 16,299,096 = 16,299,096 : x
  2. Step 2: Convert to fraction form
    7,527,468/16,299,096 = 16,299,096/x
  3. Step 3: Cross multiply
    7,527,468x = 16,299,096 × 16,299,096
  4. Step 4: Simplify right side
    7,527,468x = 265,660,530,417,216
  5. Step 5: Solve for x
    x = 265,660,530,417,216/7,527,468
  6. Step 6: Final answer
    x = 35,292,150.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.