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Finding the Third Proportional to 21,057,511,993,510 and 45,853,353,673,532

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Solution

The third proportional to 21,057,511,993,510 and 45,853,353,673,532 is: 99,847,030,539,886.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,057,511,993,510 : 45,853,353,673,532 = 45,853,353,673,532 : x
  2. Step 2: Convert to fraction form
    21,057,511,993,510/45,853,353,673,532 = 45,853,353,673,532/x
  3. Step 3: Cross multiply
    21,057,511,993,510x = 45,853,353,673,532 × 45,853,353,673,532
  4. Step 4: Simplify right side
    21,057,511,993,510x = 2,102,530,043,110,010,553,668,468,736
  5. Step 5: Solve for x
    x = 2,102,530,043,110,010,553,668,468,736/21,057,511,993,510
  6. Step 6: Final answer
    x = 99,847,030,539,886.09

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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.