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Finding the Third Proportional to 363,105,887,646 and 794,612,965,146

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Solution

The third proportional to 363,105,887,646 and 794,612,965,146 is: 1,738,913,594,796.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,105,887,646 : 794,612,965,146 = 794,612,965,146 : x
  2. Step 2: Convert to fraction form
    363,105,887,646/794,612,965,146 = 794,612,965,146/x
  3. Step 3: Cross multiply
    363,105,887,646x = 794,612,965,146 × 794,612,965,146
  4. Step 4: Simplify right side
    363,105,887,646x = 631,409,764,378,118,258,163,712
  5. Step 5: Solve for x
    x = 631,409,764,378,118,258,163,712/363,105,887,646
  6. Step 6: Final answer
    x = 1,738,913,594,796.06

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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.