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Finding the Third Proportional to 10,505,584 and 23,004,072

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Solution

The third proportional to 10,505,584 and 23,004,072 is: 50,372,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505,584 : 23,004,072 = 23,004,072 : x
  2. Step 2: Convert to fraction form
    10,505,584/23,004,072 = 23,004,072/x
  3. Step 3: Cross multiply
    10,505,584x = 23,004,072 × 23,004,072
  4. Step 4: Simplify right side
    10,505,584x = 529,187,328,581,184
  5. Step 5: Solve for x
    x = 529,187,328,581,184/10,505,584
  6. Step 6: Final answer
    x = 50,372,004.89

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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.