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Finding the Third Proportional to 363,105,887,580 and 794,612,965,007

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Solution

The third proportional to 363,105,887,580 and 794,612,965,007 is: 1,738,913,594,503.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,105,887,580 : 794,612,965,007 = 794,612,965,007 : x
  2. Step 2: Convert to fraction form
    363,105,887,580/794,612,965,007 = 794,612,965,007/x
  3. Step 3: Cross multiply
    363,105,887,580x = 794,612,965,007 × 794,612,965,007
  4. Step 4: Simplify right side
    363,105,887,580x = 631,409,764,157,215,742,099,456
  5. Step 5: Solve for x
    x = 631,409,764,157,215,742,099,456/363,105,887,580
  6. Step 6: Final answer
    x = 1,738,913,594,503.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.