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Finding the Third Proportional to 9,049,304 and 19,393,984

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Solution

The third proportional to 9,049,304 and 19,393,984 is: 41,564,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,049,304 : 19,393,984 = 19,393,984 : x
  2. Step 2: Convert to fraction form
    9,049,304/19,393,984 = 19,393,984/x
  3. Step 3: Cross multiply
    9,049,304x = 19,393,984 × 19,393,984
  4. Step 4: Simplify right side
    9,049,304x = 376,126,615,392,256
  5. Step 5: Solve for x
    x = 376,126,615,392,256/9,049,304
  6. Step 6: Final answer
    x = 41,564,148.51

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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.