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Finding the Third Proportional to 6,170,692 and 13,289,648

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Solution

The third proportional to 6,170,692 and 13,289,648 is: 28,621,545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170,692 : 13,289,648 = 13,289,648 : x
  2. Step 2: Convert to fraction form
    6,170,692/13,289,648 = 13,289,648/x
  3. Step 3: Cross multiply
    6,170,692x = 13,289,648 × 13,289,648
  4. Step 4: Simplify right side
    6,170,692x = 176,614,743,963,904
  5. Step 5: Solve for x
    x = 176,614,743,963,904/6,170,692
  6. Step 6: Final answer
    x = 28,621,545.84

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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.