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Finding the Third Proportional to 10,119,564 and 21,918,744

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Solution

The third proportional to 10,119,564 and 21,918,744 is: 47,475,497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119,564 : 21,918,744 = 21,918,744 : x
  2. Step 2: Convert to fraction form
    10,119,564/21,918,744 = 21,918,744/x
  3. Step 3: Cross multiply
    10,119,564x = 21,918,744 × 21,918,744
  4. Step 4: Simplify right side
    10,119,564x = 480,431,338,537,536
  5. Step 5: Solve for x
    x = 480,431,338,537,536/10,119,564
  6. Step 6: Final answer
    x = 47,475,497.81

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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.