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Finding the Third Proportional to 10,072,625 and 21,581,260

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Solution

The third proportional to 10,072,625 and 21,581,260 is: 46,239,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072,625 : 21,581,260 = 21,581,260 : x
  2. Step 2: Convert to fraction form
    10,072,625/21,581,260 = 21,581,260/x
  3. Step 3: Cross multiply
    10,072,625x = 21,581,260 × 21,581,260
  4. Step 4: Simplify right side
    10,072,625x = 465,750,783,187,600
  5. Step 5: Solve for x
    x = 465,750,783,187,600/10,072,625
  6. Step 6: Final answer
    x = 46,239,265.65

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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.