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Finding the Third Proportional to 13,564,153,156 and 18,320,612,676

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Solution

The third proportional to 13,564,153,156 and 18,320,612,676 is: 24,744,991,077.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,564,153,156 : 18,320,612,676 = 18,320,612,676 : x
  2. Step 2: Convert to fraction form
    13,564,153,156/18,320,612,676 = 18,320,612,676/x
  3. Step 3: Cross multiply
    13,564,153,156x = 18,320,612,676 × 18,320,612,676
  4. Step 4: Simplify right side
    13,564,153,156x = 335,644,848,824,011,849,728
  5. Step 5: Solve for x
    x = 335,644,848,824,011,849,728/13,564,153,156
  6. Step 6: Final answer
    x = 24,744,991,077.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.