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Finding the Third Proportional to 4,601,229.75 and 9,964,041.75

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Solution

The third proportional to 4,601,229.75 and 9,964,041.75 is: 21,577,302.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601,229.75 : 9,964,041.75 = 9,964,041.75 : x
  2. Step 2: Convert to fraction form
    4,601,229.75/9,964,041.75 = 9,964,041.75/x
  3. Step 3: Cross multiply
    4,601,229.75x = 9,964,041.75 × 9,964,041.75
  4. Step 4: Simplify right side
    4,601,229.75x = 99,282,127,995,743.06
  5. Step 5: Solve for x
    x = 99,282,127,995,743.06/4,601,229.75
  6. Step 6: Final answer
    x = 21,577,302.89

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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.