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Finding the Third Proportional to 568,710,761,728 and 1,184,493,378,368

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Solution

The third proportional to 568,710,761,728 and 1,184,493,378,368 is: 2,467,026,576,276.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,710,761,728 : 1,184,493,378,368 = 1,184,493,378,368 : x
  2. Step 2: Convert to fraction form
    568,710,761,728/1,184,493,378,368 = 1,184,493,378,368/x
  3. Step 3: Cross multiply
    568,710,761,728x = 1,184,493,378,368 × 1,184,493,378,368
  4. Step 4: Simplify right side
    568,710,761,728x = 1,403,024,563,397,638,125,256,704
  5. Step 5: Solve for x
    x = 1,403,024,563,397,638,125,256,704/568,710,761,728
  6. Step 6: Final answer
    x = 2,467,026,576,276.87

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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.