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Finding the Third Proportional to 9,575,624 and 20,478,352

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Solution

The third proportional to 9,575,624 and 20,478,352 is: 43,794,837.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575,624 : 20,478,352 = 20,478,352 : x
  2. Step 2: Convert to fraction form
    9,575,624/20,478,352 = 20,478,352/x
  3. Step 3: Cross multiply
    9,575,624x = 20,478,352 × 20,478,352
  4. Step 4: Simplify right side
    9,575,624x = 419,362,900,635,904
  5. Step 5: Solve for x
    x = 419,362,900,635,904/9,575,624
  6. Step 6: Final answer
    x = 43,794,837.88

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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.