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Finding the Third Proportional to 6,921,341 and 14,907,659

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Solution

The third proportional to 6,921,341 and 14,907,659 is: 32,109,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921,341 : 14,907,659 = 14,907,659 : x
  2. Step 2: Convert to fraction form
    6,921,341/14,907,659 = 14,907,659/x
  3. Step 3: Cross multiply
    6,921,341x = 14,907,659 × 14,907,659
  4. Step 4: Simplify right side
    6,921,341x = 222,238,296,860,281
  5. Step 5: Solve for x
    x = 222,238,296,860,281/6,921,341
  6. Step 6: Final answer
    x = 32,109,138.51

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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.