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Finding the Third Proportional to 11,199,838 and 23,934,947

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Solution

The third proportional to 11,199,838 and 23,934,947 is: 51,150,890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199,838 : 23,934,947 = 23,934,947 : x
  2. Step 2: Convert to fraction form
    11,199,838/23,934,947 = 23,934,947/x
  3. Step 3: Cross multiply
    11,199,838x = 23,934,947 × 23,934,947
  4. Step 4: Simplify right side
    11,199,838x = 572,881,687,892,809
  5. Step 5: Solve for x
    x = 572,881,687,892,809/11,199,838
  6. Step 6: Final answer
    x = 51,150,890.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.