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Finding the Third Proportional to 1,619,492,765,346 and 3,373,029,994,374

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Solution

The third proportional to 1,619,492,765,346 and 3,373,029,994,374 is: 7,025,243,697,532.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619,492,765,346 : 3,373,029,994,374 = 3,373,029,994,374 : x
  2. Step 2: Convert to fraction form
    1,619,492,765,346/3,373,029,994,374 = 3,373,029,994,374/x
  3. Step 3: Cross multiply
    1,619,492,765,346x = 3,373,029,994,374 × 3,373,029,994,374
  4. Step 4: Simplify right side
    1,619,492,765,346x = 11,377,331,342,946,667,363,041,280
  5. Step 5: Solve for x
    x = 11,377,331,342,946,667,363,041,280/1,619,492,765,346
  6. Step 6: Final answer
    x = 7,025,243,697,532.62

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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.