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Finding the Third Proportional to 21,876,411 and 47,689,206

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Solution

The third proportional to 21,876,411 and 47,689,206 is: 103,959,482.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876,411 : 47,689,206 = 47,689,206 : x
  2. Step 2: Convert to fraction form
    21,876,411/47,689,206 = 47,689,206/x
  3. Step 3: Cross multiply
    21,876,411x = 47,689,206 × 47,689,206
  4. Step 4: Simplify right side
    21,876,411x = 2,274,260,368,910,436
  5. Step 5: Solve for x
    x = 2,274,260,368,910,436/21,876,411
  6. Step 6: Final answer
    x = 103,959,482.61

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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.