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Finding the Third Proportional to 34,685,910,100 and 55,192,101,768

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Solution

The third proportional to 34,685,910,100 and 55,192,101,768 is: 87,821,483,962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,685,910,100 : 55,192,101,768 = 55,192,101,768 : x
  2. Step 2: Convert to fraction form
    34,685,910,100/55,192,101,768 = 55,192,101,768/x
  3. Step 3: Cross multiply
    34,685,910,100x = 55,192,101,768 × 55,192,101,768
  4. Step 4: Simplify right side
    34,685,910,100x = 3,046,168,097,569,268,826,112
  5. Step 5: Solve for x
    x = 3,046,168,097,569,268,826,112/34,685,910,100
  6. Step 6: Final answer
    x = 87,821,483,962.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.