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Finding the Third Proportional to 10,624,164 and 23,230,174

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Solution

The third proportional to 10,624,164 and 23,230,174 is: 50,793,736.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624,164 : 23,230,174 = 23,230,174 : x
  2. Step 2: Convert to fraction form
    10,624,164/23,230,174 = 23,230,174/x
  3. Step 3: Cross multiply
    10,624,164x = 23,230,174 × 23,230,174
  4. Step 4: Simplify right side
    10,624,164x = 539,640,984,070,276
  5. Step 5: Solve for x
    x = 539,640,984,070,276/10,624,164
  6. Step 6: Final answer
    x = 50,793,736.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.