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Finding the Third Proportional to 6,754,421 and 14,534,662

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Solution

The third proportional to 6,754,421 and 14,534,662 is: 31,276,759.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754,421 : 14,534,662 = 14,534,662 : x
  2. Step 2: Convert to fraction form
    6,754,421/14,534,662 = 14,534,662/x
  3. Step 3: Cross multiply
    6,754,421x = 14,534,662 × 14,534,662
  4. Step 4: Simplify right side
    6,754,421x = 211,256,399,454,244
  5. Step 5: Solve for x
    x = 211,256,399,454,244/6,754,421
  6. Step 6: Final answer
    x = 31,276,759.24

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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.