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Finding the Third Proportional to 4,422,972.09 and 9,460,741.78

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Solution

The third proportional to 4,422,972.09 and 9,460,741.78 is: 20,236,536.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,422,972.09 : 9,460,741.78 = 9,460,741.78 : x
  2. Step 2: Convert to fraction form
    4,422,972.09/9,460,741.78 = 9,460,741.78/x
  3. Step 3: Cross multiply
    4,422,972.09x = 9,460,741.78 × 9,460,741.78
  4. Step 4: Simplify right side
    4,422,972.09x = 89,505,635,051,489.42
  5. Step 5: Solve for x
    x = 89,505,635,051,489.42/4,422,972.09
  6. Step 6: Final answer
    x = 20,236,536.24

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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.