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Finding the Third Proportional to 6,170,608 and 13,289,462

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Solution

The third proportional to 6,170,608 and 13,289,462 is: 28,621,134.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170,608 : 13,289,462 = 13,289,462 : x
  2. Step 2: Convert to fraction form
    6,170,608/13,289,462 = 13,289,462/x
  3. Step 3: Cross multiply
    6,170,608x = 13,289,462 × 13,289,462
  4. Step 4: Simplify right side
    6,170,608x = 176,609,800,249,444
  5. Step 5: Solve for x
    x = 176,609,800,249,444/6,170,608
  6. Step 6: Final answer
    x = 28,621,134.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.