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Finding the Third Proportional to 6,214,485 and 13,292,493

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Solution

The third proportional to 6,214,485 and 13,292,493 is: 28,432,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214,485 : 13,292,493 = 13,292,493 : x
  2. Step 2: Convert to fraction form
    6,214,485/13,292,493 = 13,292,493/x
  3. Step 3: Cross multiply
    6,214,485x = 13,292,493 × 13,292,493
  4. Step 4: Simplify right side
    6,214,485x = 176,690,370,155,049
  5. Step 5: Solve for x
    x = 176,690,370,155,049/6,214,485
  6. Step 6: Final answer
    x = 28,432,021.34

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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.