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Finding the Third Proportional to 4,842,864 and 10,187,649

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Solution

The third proportional to 4,842,864 and 10,187,649 is: 21,431,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842,864 : 10,187,649 = 10,187,649 : x
  2. Step 2: Convert to fraction form
    4,842,864/10,187,649 = 10,187,649/x
  3. Step 3: Cross multiply
    4,842,864x = 10,187,649 × 10,187,649
  4. Step 4: Simplify right side
    4,842,864x = 103,788,192,147,201
  5. Step 5: Solve for x
    x = 103,788,192,147,201/4,842,864
  6. Step 6: Final answer
    x = 21,431,159.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.