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Finding the Third Proportional to 21,887,714 and 47,513,716

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Solution

The third proportional to 21,887,714 and 47,513,716 is: 103,142,484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,887,714 : 47,513,716 = 47,513,716 : x
  2. Step 2: Convert to fraction form
    21,887,714/47,513,716 = 47,513,716/x
  3. Step 3: Cross multiply
    21,887,714x = 47,513,716 × 47,513,716
  4. Step 4: Simplify right side
    21,887,714x = 2,257,553,208,128,656
  5. Step 5: Solve for x
    x = 2,257,553,208,128,656/21,887,714
  6. Step 6: Final answer
    x = 103,142,484.78

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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.