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Finding the Third Proportional to 21,876,412 and 47,689,208

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Solution

The third proportional to 21,876,412 and 47,689,208 is: 103,959,486.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876,412 : 47,689,208 = 47,689,208 : x
  2. Step 2: Convert to fraction form
    21,876,412/47,689,208 = 47,689,208/x
  3. Step 3: Cross multiply
    21,876,412x = 47,689,208 × 47,689,208
  4. Step 4: Simplify right side
    21,876,412x = 2,274,260,559,667,264
  5. Step 5: Solve for x
    x = 2,274,260,559,667,264/21,876,412
  6. Step 6: Final answer
    x = 103,959,486.58

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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.