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Finding the Third Proportional to 10,832,326 and 23,529,356

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Solution

The third proportional to 10,832,326 and 23,529,356 is: 51,109,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832,326 : 23,529,356 = 23,529,356 : x
  2. Step 2: Convert to fraction form
    10,832,326/23,529,356 = 23,529,356/x
  3. Step 3: Cross multiply
    10,832,326x = 23,529,356 × 23,529,356
  4. Step 4: Simplify right side
    10,832,326x = 553,630,593,774,736
  5. Step 5: Solve for x
    x = 553,630,593,774,736/10,832,326
  6. Step 6: Final answer
    x = 51,109,114.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.