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Finding the Third Proportional to 10,892,004 and 23,464,512

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Solution

The third proportional to 10,892,004 and 23,464,512 is: 50,549,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892,004 : 23,464,512 = 23,464,512 : x
  2. Step 2: Convert to fraction form
    10,892,004/23,464,512 = 23,464,512/x
  3. Step 3: Cross multiply
    10,892,004x = 23,464,512 × 23,464,512
  4. Step 4: Simplify right side
    10,892,004x = 550,583,323,398,144
  5. Step 5: Solve for x
    x = 550,583,323,398,144/10,892,004
  6. Step 6: Final answer
    x = 50,549,313.37

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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.