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Finding the Third Proportional to 10,489,533 and 16,200,130

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Solution

The third proportional to 10,489,533 and 16,200,130 is: 25,019,627.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489,533 : 16,200,130 = 16,200,130 : x
  2. Step 2: Convert to fraction form
    10,489,533/16,200,130 = 16,200,130/x
  3. Step 3: Cross multiply
    10,489,533x = 16,200,130 × 16,200,130
  4. Step 4: Simplify right side
    10,489,533x = 262,444,212,016,900
  5. Step 5: Solve for x
    x = 262,444,212,016,900/10,489,533
  6. Step 6: Final answer
    x = 25,019,627.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.