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Finding the Third Proportional to 21,057,511,993,514 and 45,853,353,673,539

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Solution

The third proportional to 21,057,511,993,514 and 45,853,353,673,539 is: 99,847,030,539,897.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,057,511,993,514 : 45,853,353,673,539 = 45,853,353,673,539 : x
  2. Step 2: Convert to fraction form
    21,057,511,993,514/45,853,353,673,539 = 45,853,353,673,539/x
  3. Step 3: Cross multiply
    21,057,511,993,514x = 45,853,353,673,539 × 45,853,353,673,539
  4. Step 4: Simplify right side
    21,057,511,993,514x = 2,102,530,043,110,652,393,581,182,976
  5. Step 5: Solve for x
    x = 2,102,530,043,110,652,393,581,182,976/21,057,511,993,514
  6. Step 6: Final answer
    x = 99,847,030,539,897.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.