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Finding the Third Proportional to 4,894,618 and 10,497,824

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Solution

The third proportional to 4,894,618 and 10,497,824 is: 22,515,405.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894,618 : 10,497,824 = 10,497,824 : x
  2. Step 2: Convert to fraction form
    4,894,618/10,497,824 = 10,497,824/x
  3. Step 3: Cross multiply
    4,894,618x = 10,497,824 × 10,497,824
  4. Step 4: Simplify right side
    4,894,618x = 110,204,308,734,976
  5. Step 5: Solve for x
    x = 110,204,308,734,976/4,894,618
  6. Step 6: Final answer
    x = 22,515,405.44

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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.