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Finding the Third Proportional to 21,105,677 and 31,534,273

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Solution

The third proportional to 21,105,677 and 31,534,273 is: 47,115,777.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,105,677 : 31,534,273 = 31,534,273 : x
  2. Step 2: Convert to fraction form
    21,105,677/31,534,273 = 31,534,273/x
  3. Step 3: Cross multiply
    21,105,677x = 31,534,273 × 31,534,273
  4. Step 4: Simplify right side
    21,105,677x = 994,410,373,638,529
  5. Step 5: Solve for x
    x = 994,410,373,638,529/21,105,677
  6. Step 6: Final answer
    x = 47,115,777.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.