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Finding the Third Proportional to 54,197,319,672 and 117,400,556,640

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Solution

The third proportional to 54,197,319,672 and 117,400,556,640 is: 254,309,452,622.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,197,319,672 : 117,400,556,640 = 117,400,556,640 : x
  2. Step 2: Convert to fraction form
    54,197,319,672/117,400,556,640 = 117,400,556,640/x
  3. Step 3: Cross multiply
    54,197,319,672x = 117,400,556,640 × 117,400,556,640
  4. Step 4: Simplify right side
    54,197,319,672x = 13,782,890,699,381,847,097,344
  5. Step 5: Solve for x
    x = 13,782,890,699,381,847,097,344/54,197,319,672
  6. Step 6: Final answer
    x = 254,309,452,622.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.