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Finding the Third Proportional to 6,684,014 and 9,744,357

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Solution

The third proportional to 6,684,014 and 9,744,357 is: 14,205,908.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684,014 : 9,744,357 = 9,744,357 : x
  2. Step 2: Convert to fraction form
    6,684,014/9,744,357 = 9,744,357/x
  3. Step 3: Cross multiply
    6,684,014x = 9,744,357 × 9,744,357
  4. Step 4: Simplify right side
    6,684,014x = 94,952,493,343,449
  5. Step 5: Solve for x
    x = 94,952,493,343,449/6,684,014
  6. Step 6: Final answer
    x = 14,205,908.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.