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Finding the Third Proportional to 346,675,758,192 and 703,099,250,460

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Solution

The third proportional to 346,675,758,192 and 703,099,250,460 is: 1,425,968,053,190.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,675,758,192 : 703,099,250,460 = 703,099,250,460 : x
  2. Step 2: Convert to fraction form
    346,675,758,192/703,099,250,460 = 703,099,250,460/x
  3. Step 3: Cross multiply
    346,675,758,192x = 703,099,250,460 × 703,099,250,460
  4. Step 4: Simplify right side
    346,675,758,192x = 494,348,555,997,413,828,984,832
  5. Step 5: Solve for x
    x = 494,348,555,997,413,828,984,832/346,675,758,192
  6. Step 6: Final answer
    x = 1,425,968,053,190.58

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.