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Finding the Third Proportional to 10,751,102.16 and 23,213,805.19

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Solution

The third proportional to 10,751,102.16 and 23,213,805.19 is: 50,123,303.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,751,102.16 : 23,213,805.19 = 23,213,805.19 : x
  2. Step 2: Convert to fraction form
    10,751,102.16/23,213,805.19 = 23,213,805.19/x
  3. Step 3: Cross multiply
    10,751,102.16x = 23,213,805.19 × 23,213,805.19
  4. Step 4: Simplify right side
    10,751,102.16x = 538,880,751,283,201.94
  5. Step 5: Solve for x
    x = 538,880,751,283,201.94/10,751,102.16
  6. Step 6: Final answer
    x = 50,123,303.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.