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Finding the Third Proportional to 21,876,434 and 47,689,252

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Solution

The third proportional to 21,876,434 and 47,689,252 is: 103,959,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876,434 : 47,689,252 = 47,689,252 : x
  2. Step 2: Convert to fraction form
    21,876,434/47,689,252 = 47,689,252/x
  3. Step 3: Cross multiply
    21,876,434x = 47,689,252 × 47,689,252
  4. Step 4: Simplify right side
    21,876,434x = 2,274,264,756,319,504
  5. Step 5: Solve for x
    x = 2,274,264,756,319,504/21,876,434
  6. Step 6: Final answer
    x = 103,959,573.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.