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Finding the Third Proportional to 2,909,493 and 6,322,595.91

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Solution

The third proportional to 2,909,493 and 6,322,595.91 is: 13,739,582.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909,493 : 6,322,595.91 = 6,322,595.91 : x
  2. Step 2: Convert to fraction form
    2,909,493/6,322,595.91 = 6,322,595.91/x
  3. Step 3: Cross multiply
    2,909,493x = 6,322,595.91 × 6,322,595.91
  4. Step 4: Simplify right side
    2,909,493x = 39,975,218,993,729.26
  5. Step 5: Solve for x
    x = 39,975,218,993,729.26/2,909,493
  6. Step 6: Final answer
    x = 13,739,582.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.