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Finding the Third Proportional to 10,085,384 and 21,021,712

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Solution

The third proportional to 10,085,384 and 21,021,712 is: 43,817,109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085,384 : 21,021,712 = 21,021,712 : x
  2. Step 2: Convert to fraction form
    10,085,384/21,021,712 = 21,021,712/x
  3. Step 3: Cross multiply
    10,085,384x = 21,021,712 × 21,021,712
  4. Step 4: Simplify right side
    10,085,384x = 441,912,375,410,944
  5. Step 5: Solve for x
    x = 441,912,375,410,944/10,085,384
  6. Step 6: Final answer
    x = 43,817,109.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.