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Finding the Third Proportional to 54,197,319,674 and 117,400,556,644

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Solution

The third proportional to 54,197,319,674 and 117,400,556,644 is: 254,309,452,630.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,197,319,674 : 117,400,556,644 = 117,400,556,644 : x
  2. Step 2: Convert to fraction form
    54,197,319,674/117,400,556,644 = 117,400,556,644/x
  3. Step 3: Cross multiply
    54,197,319,674x = 117,400,556,644 × 117,400,556,644
  4. Step 4: Simplify right side
    54,197,319,674x = 13,782,890,700,321,052,426,240
  5. Step 5: Solve for x
    x = 13,782,890,700,321,052,426,240/54,197,319,674
  6. Step 6: Final answer
    x = 254,309,452,630.24

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Why These Related Problems?

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