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Finding the Third Proportional to 4,769,016 and 10,329,725

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Solution

The third proportional to 4,769,016 and 10,329,725 is: 22,374,263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769,016 : 10,329,725 = 10,329,725 : x
  2. Step 2: Convert to fraction form
    4,769,016/10,329,725 = 10,329,725/x
  3. Step 3: Cross multiply
    4,769,016x = 10,329,725 × 10,329,725
  4. Step 4: Simplify right side
    4,769,016x = 106,703,218,575,625
  5. Step 5: Solve for x
    x = 106,703,218,575,625/4,769,016
  6. Step 6: Final answer
    x = 22,374,263.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.