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Finding the Third Proportional to 1,619,492,765,464 and 3,373,029,994,520

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Solution

The third proportional to 1,619,492,765,464 and 3,373,029,994,520 is: 7,025,243,697,628.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619,492,765,464 : 3,373,029,994,520 = 3,373,029,994,520 : x
  2. Step 2: Convert to fraction form
    1,619,492,765,464/3,373,029,994,520 = 3,373,029,994,520/x
  3. Step 3: Cross multiply
    1,619,492,765,464x = 3,373,029,994,520 × 3,373,029,994,520
  4. Step 4: Simplify right side
    1,619,492,765,464x = 11,377,331,343,931,591,410,843,648
  5. Step 5: Solve for x
    x = 11,377,331,343,931,591,410,843,648/1,619,492,765,464
  6. Step 6: Final answer
    x = 7,025,243,697,628.92

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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.