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Finding the Third Proportional to 5,846,196,108 and 13,795,975,758

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Solution

The third proportional to 5,846,196,108 and 13,795,975,758 is: 32,556,031,922.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846,196,108 : 13,795,975,758 = 13,795,975,758 : x
  2. Step 2: Convert to fraction form
    5,846,196,108/13,795,975,758 = 13,795,975,758/x
  3. Step 3: Cross multiply
    5,846,196,108x = 13,795,975,758 × 13,795,975,758
  4. Step 4: Simplify right side
    5,846,196,108x = 190,328,947,115,323,686,912
  5. Step 5: Solve for x
    x = 190,328,947,115,323,686,912/5,846,196,108
  6. Step 6: Final answer
    x = 32,556,031,922.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.