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Finding the Third Proportional to 2,551,170 and 5,413,316

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Solution

The third proportional to 2,551,170 and 5,413,316 is: 11,486,490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551,170 : 5,413,316 = 5,413,316 : x
  2. Step 2: Convert to fraction form
    2,551,170/5,413,316 = 5,413,316/x
  3. Step 3: Cross multiply
    2,551,170x = 5,413,316 × 5,413,316
  4. Step 4: Simplify right side
    2,551,170x = 29,303,990,115,856
  5. Step 5: Solve for x
    x = 29,303,990,115,856/2,551,170
  6. Step 6: Final answer
    x = 11,486,490.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.