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Finding the Third Proportional to 21,936,462 and 47,533,947

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Solution

The third proportional to 21,936,462 and 47,533,947 is: 103,000,935.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,936,462 : 47,533,947 = 47,533,947 : x
  2. Step 2: Convert to fraction form
    21,936,462/47,533,947 = 47,533,947/x
  3. Step 3: Cross multiply
    21,936,462x = 47,533,947 × 47,533,947
  4. Step 4: Simplify right side
    21,936,462x = 2,259,476,117,398,809
  5. Step 5: Solve for x
    x = 2,259,476,117,398,809/21,936,462
  6. Step 6: Final answer
    x = 103,000,935.95

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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.