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Finding the Third Proportional to 9,575,581 and 20,478,265

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Solution

The third proportional to 9,575,581 and 20,478,265 is: 43,794,662.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575,581 : 20,478,265 = 20,478,265 : x
  2. Step 2: Convert to fraction form
    9,575,581/20,478,265 = 20,478,265/x
  3. Step 3: Cross multiply
    9,575,581x = 20,478,265 × 20,478,265
  4. Step 4: Simplify right side
    9,575,581x = 419,359,337,410,225
  5. Step 5: Solve for x
    x = 419,359,337,410,225/9,575,581
  6. Step 6: Final answer
    x = 43,794,662.42

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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.