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Finding the Third Proportional to 5,831,742 and 8,208,792

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Solution

The third proportional to 5,831,742 and 8,208,792 is: 11,554,740.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831,742 : 8,208,792 = 8,208,792 : x
  2. Step 2: Convert to fraction form
    5,831,742/8,208,792 = 8,208,792/x
  3. Step 3: Cross multiply
    5,831,742x = 8,208,792 × 8,208,792
  4. Step 4: Simplify right side
    5,831,742x = 67,384,266,099,264
  5. Step 5: Solve for x
    x = 67,384,266,099,264/5,831,742
  6. Step 6: Final answer
    x = 11,554,740.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.