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Finding the Third Proportional to 9,575,586 and 20,478,276

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Solution

The third proportional to 9,575,586 and 20,478,276 is: 43,794,686.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575,586 : 20,478,276 = 20,478,276 : x
  2. Step 2: Convert to fraction form
    9,575,586/20,478,276 = 20,478,276/x
  3. Step 3: Cross multiply
    9,575,586x = 20,478,276 × 20,478,276
  4. Step 4: Simplify right side
    9,575,586x = 419,359,787,932,176
  5. Step 5: Solve for x
    x = 419,359,787,932,176/9,575,586
  6. Step 6: Final answer
    x = 43,794,686.61

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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.