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Finding the Third Proportional to 5,140,033 and 6,822,930

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Solution

The third proportional to 5,140,033 and 6,822,930 is: 9,056,823.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140,033 : 6,822,930 = 6,822,930 : x
  2. Step 2: Convert to fraction form
    5,140,033/6,822,930 = 6,822,930/x
  3. Step 3: Cross multiply
    5,140,033x = 6,822,930 × 6,822,930
  4. Step 4: Simplify right side
    5,140,033x = 46,552,373,784,900
  5. Step 5: Solve for x
    x = 46,552,373,784,900/5,140,033
  6. Step 6: Final answer
    x = 9,056,823.91

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.