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Finding the Third Proportional to 16,004,327,397,769 and 21,593,595,388,282

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Solution

The third proportional to 16,004,327,397,769 and 21,593,595,388,282 is: 29,134,830,237,091.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,004,327,397,769 : 21,593,595,388,282 = 21,593,595,388,282 : x
  2. Step 2: Convert to fraction form
    16,004,327,397,769/21,593,595,388,282 = 21,593,595,388,282/x
  3. Step 3: Cross multiply
    16,004,327,397,769x = 21,593,595,388,282 × 21,593,595,388,282
  4. Step 4: Simplify right side
    16,004,327,397,769x = 466,283,361,792,833,631,694,094,336
  5. Step 5: Solve for x
    x = 466,283,361,792,833,631,694,094,336/16,004,327,397,769
  6. Step 6: Final answer
    x = 29,134,830,237,091.59

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.