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Finding the Third Proportional to 3,366,093 and 7,214,421

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Solution

The third proportional to 3,366,093 and 7,214,421 is: 15,462,398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,366,093 : 7,214,421 = 7,214,421 : x
  2. Step 2: Convert to fraction form
    3,366,093/7,214,421 = 7,214,421/x
  3. Step 3: Cross multiply
    3,366,093x = 7,214,421 × 7,214,421
  4. Step 4: Simplify right side
    3,366,093x = 52,047,870,365,241
  5. Step 5: Solve for x
    x = 52,047,870,365,241/3,366,093
  6. Step 6: Final answer
    x = 15,462,398.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.