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Finding the Third Proportional to 5,977,622 and 12,786,303

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Solution

The third proportional to 5,977,622 and 12,786,303 is: 27,350,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977,622 : 12,786,303 = 12,786,303 : x
  2. Step 2: Convert to fraction form
    5,977,622/12,786,303 = 12,786,303/x
  3. Step 3: Cross multiply
    5,977,622x = 12,786,303 × 12,786,303
  4. Step 4: Simplify right side
    5,977,622x = 163,489,544,407,809
  5. Step 5: Solve for x
    x = 163,489,544,407,809/5,977,622
  6. Step 6: Final answer
    x = 27,350,264.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.