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Finding the Third Proportional to 1,619,572,552,168 and 3,482,885,204,611

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Solution

The third proportional to 1,619,572,552,168 and 3,482,885,204,611 is: 7,489,932,656,774.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619,572,552,168 : 3,482,885,204,611 = 3,482,885,204,611 : x
  2. Step 2: Convert to fraction form
    1,619,572,552,168/3,482,885,204,611 = 3,482,885,204,611/x
  3. Step 3: Cross multiply
    1,619,572,552,168x = 3,482,885,204,611 × 3,482,885,204,611
  4. Step 4: Simplify right side
    1,619,572,552,168x = 12,130,489,348,498,208,336,117,760
  5. Step 5: Solve for x
    x = 12,130,489,348,498,208,336,117,760/1,619,572,552,168
  6. Step 6: Final answer
    x = 7,489,932,656,774.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.