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Finding the Third Proportional to 3,022,498 and 6,386,142

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Solution

The third proportional to 3,022,498 and 6,386,142 is: 13,493,080.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022,498 : 6,386,142 = 6,386,142 : x
  2. Step 2: Convert to fraction form
    3,022,498/6,386,142 = 6,386,142/x
  3. Step 3: Cross multiply
    3,022,498x = 6,386,142 × 6,386,142
  4. Step 4: Simplify right side
    3,022,498x = 40,782,809,644,164
  5. Step 5: Solve for x
    x = 40,782,809,644,164/3,022,498
  6. Step 6: Final answer
    x = 13,493,080.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.