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Finding the Third Proportional to 13,350,113,064 and 29,022,360,912

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Solution

The third proportional to 13,350,113,064 and 29,022,360,912 is: 63,092,906,319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,350,113,064 : 29,022,360,912 = 29,022,360,912 : x
  2. Step 2: Convert to fraction form
    13,350,113,064/29,022,360,912 = 29,022,360,912/x
  3. Step 3: Cross multiply
    13,350,113,064x = 29,022,360,912 × 29,022,360,912
  4. Step 4: Simplify right side
    13,350,113,064x = 842,297,432,906,385,457,152
  5. Step 5: Solve for x
    x = 842,297,432,906,385,457,152/13,350,113,064
  6. Step 6: Final answer
    x = 63,092,906,319.85

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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.