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Finding the Third Proportional to 6,157,295,360 and 13,443,633,844

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Solution

The third proportional to 6,157,295,360 and 13,443,633,844 is: 29,352,382,883.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157,295,360 : 13,443,633,844 = 13,443,633,844 : x
  2. Step 2: Convert to fraction form
    6,157,295,360/13,443,633,844 = 13,443,633,844/x
  3. Step 3: Cross multiply
    6,157,295,360x = 13,443,633,844 × 13,443,633,844
  4. Step 4: Simplify right side
    6,157,295,360x = 180,731,290,931,542,228,992
  5. Step 5: Solve for x
    x = 180,731,290,931,542,228,992/6,157,295,360
  6. Step 6: Final answer
    x = 29,352,382,883.18

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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.