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Finding the Third Proportional to 21,909,756 and 47,283,672

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Solution

The third proportional to 21,909,756 and 47,283,672 is: 102,043,383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,909,756 : 47,283,672 = 47,283,672 : x
  2. Step 2: Convert to fraction form
    21,909,756/47,283,672 = 47,283,672/x
  3. Step 3: Cross multiply
    21,909,756x = 47,283,672 × 47,283,672
  4. Step 4: Simplify right side
    21,909,756x = 2,235,745,637,803,584
  5. Step 5: Solve for x
    x = 2,235,745,637,803,584/21,909,756
  6. Step 6: Final answer
    x = 102,043,383.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.