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Finding the Third Proportional to 683,710,297,713 and 1,455,848,126,298

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Solution

The third proportional to 683,710,297,713 and 1,455,848,126,298 is: 3,099,988,070,876.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,710,297,713 : 1,455,848,126,298 = 1,455,848,126,298 : x
  2. Step 2: Convert to fraction form
    683,710,297,713/1,455,848,126,298 = 1,455,848,126,298/x
  3. Step 3: Cross multiply
    683,710,297,713x = 1,455,848,126,298 × 1,455,848,126,298
  4. Step 4: Simplify right side
    683,710,297,713x = 2,119,493,766,845,397,406,318,592
  5. Step 5: Solve for x
    x = 2,119,493,766,845,397,406,318,592/683,710,297,713
  6. Step 6: Final answer
    x = 3,099,988,070,876.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.