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Finding the Third Proportional to 10,809,308.25 and 23,613,159

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Solution

The third proportional to 10,809,308.25 and 23,613,159 is: 51,583,437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809,308.25 : 23,613,159 = 23,613,159 : x
  2. Step 2: Convert to fraction form
    10,809,308.25/23,613,159 = 23,613,159/x
  3. Step 3: Cross multiply
    10,809,308.25x = 23,613,159 × 23,613,159
  4. Step 4: Simplify right side
    10,809,308.25x = 557,581,277,959,281
  5. Step 5: Solve for x
    x = 557,581,277,959,281/10,809,308.25
  6. Step 6: Final answer
    x = 51,583,437.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.