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Finding the Third Proportional to 21,876,386 and 47,689,156

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Solution

The third proportional to 21,876,386 and 47,689,156 is: 103,959,383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876,386 : 47,689,156 = 47,689,156 : x
  2. Step 2: Convert to fraction form
    21,876,386/47,689,156 = 47,689,156/x
  3. Step 3: Cross multiply
    21,876,386x = 47,689,156 × 47,689,156
  4. Step 4: Simplify right side
    21,876,386x = 2,274,255,599,992,336
  5. Step 5: Solve for x
    x = 2,274,255,599,992,336/21,876,386
  6. Step 6: Final answer
    x = 103,959,383.42

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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.