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Finding the Third Proportional to 10,886,290,912 and 23,751,385,736

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Solution

The third proportional to 10,886,290,912 and 23,751,385,736 is: 51,820,066,994.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886,290,912 : 23,751,385,736 = 23,751,385,736 : x
  2. Step 2: Convert to fraction form
    10,886,290,912/23,751,385,736 = 23,751,385,736/x
  3. Step 3: Cross multiply
    10,886,290,912x = 23,751,385,736 × 23,751,385,736
  4. Step 4: Simplify right side
    10,886,290,912x = 564,128,324,380,264,235,008
  5. Step 5: Solve for x
    x = 564,128,324,380,264,235,008/10,886,290,912
  6. Step 6: Final answer
    x = 51,820,066,994.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.