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Finding the Third Proportional to 204,314,346,534 and 477,370,521,987

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Solution

The third proportional to 204,314,346,534 and 477,370,521,987 is: 1,115,352,979,993.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,314,346,534 : 477,370,521,987 = 477,370,521,987 : x
  2. Step 2: Convert to fraction form
    204,314,346,534/477,370,521,987 = 477,370,521,987/x
  3. Step 3: Cross multiply
    204,314,346,534x = 477,370,521,987 × 477,370,521,987
  4. Step 4: Simplify right side
    204,314,346,534x = 227,882,615,262,140,858,105,856
  5. Step 5: Solve for x
    x = 227,882,615,262,140,858,105,856/204,314,346,534
  6. Step 6: Final answer
    x = 1,115,352,979,993.59

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.