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Finding the Third Proportional to 12,380,064 and 29,129,769

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Solution

The third proportional to 12,380,064 and 29,129,769 is: 68,541,119.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380,064 : 29,129,769 = 29,129,769 : x
  2. Step 2: Convert to fraction form
    12,380,064/29,129,769 = 29,129,769/x
  3. Step 3: Cross multiply
    12,380,064x = 29,129,769 × 29,129,769
  4. Step 4: Simplify right side
    12,380,064x = 848,543,441,993,361
  5. Step 5: Solve for x
    x = 848,543,441,993,361/12,380,064
  6. Step 6: Final answer
    x = 68,541,119.17

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.