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Finding the Third Proportional to 2,555,433 and 5,465,434

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Solution

The third proportional to 2,555,433 and 5,465,434 is: 11,689,200.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555,433 : 5,465,434 = 5,465,434 : x
  2. Step 2: Convert to fraction form
    2,555,433/5,465,434 = 5,465,434/x
  3. Step 3: Cross multiply
    2,555,433x = 5,465,434 × 5,465,434
  4. Step 4: Simplify right side
    2,555,433x = 29,870,968,808,356
  5. Step 5: Solve for x
    x = 29,870,968,808,356/2,555,433
  6. Step 6: Final answer
    x = 11,689,200.54

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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.