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Finding the Third Proportional to 21,725,638 and 47,187,973

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Solution

The third proportional to 21,725,638 and 47,187,973 is: 102,492,032.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,725,638 : 47,187,973 = 47,187,973 : x
  2. Step 2: Convert to fraction form
    21,725,638/47,187,973 = 47,187,973/x
  3. Step 3: Cross multiply
    21,725,638x = 47,187,973 × 47,187,973
  4. Step 4: Simplify right side
    21,725,638x = 2,226,704,795,848,729
  5. Step 5: Solve for x
    x = 2,226,704,795,848,729/21,725,638
  6. Step 6: Final answer
    x = 102,492,032.49

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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.