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Finding the Third Proportional to 10,996,507.69 and 23,696,003.25

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Solution

The third proportional to 10,996,507.69 and 23,696,003.25 is: 51,061,717.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,996,507.69 : 23,696,003.25 = 23,696,003.25 : x
  2. Step 2: Convert to fraction form
    10,996,507.69/23,696,003.25 = 23,696,003.25/x
  3. Step 3: Cross multiply
    10,996,507.69x = 23,696,003.25 × 23,696,003.25
  4. Step 4: Simplify right side
    10,996,507.69x = 561,500,570,024,010.56
  5. Step 5: Solve for x
    x = 561,500,570,024,010.56/10,996,507.69
  6. Step 6: Final answer
    x = 51,061,717.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.