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Finding the Third Proportional to 1,619,492,765,460 and 3,373,029,994,512

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Solution

The third proportional to 1,619,492,765,460 and 3,373,029,994,512 is: 7,025,243,697,612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619,492,765,460 : 3,373,029,994,512 = 3,373,029,994,512 : x
  2. Step 2: Convert to fraction form
    1,619,492,765,460/3,373,029,994,512 = 3,373,029,994,512/x
  3. Step 3: Cross multiply
    1,619,492,765,460x = 3,373,029,994,512 × 3,373,029,994,512
  4. Step 4: Simplify right side
    1,619,492,765,460x = 11,377,331,343,877,622,999,285,760
  5. Step 5: Solve for x
    x = 11,377,331,343,877,622,999,285,760/1,619,492,765,460
  6. Step 6: Final answer
    x = 7,025,243,697,612.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.