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Finding the Third Proportional to 3,489,739,084,766 and 7,636,871,529,188

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Solution

The third proportional to 3,489,739,084,766 and 7,636,871,529,188 is: 16,712,368,843,825.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489,739,084,766 : 7,636,871,529,188 = 7,636,871,529,188 : x
  2. Step 2: Convert to fraction form
    3,489,739,084,766/7,636,871,529,188 = 7,636,871,529,188/x
  3. Step 3: Cross multiply
    3,489,739,084,766x = 7,636,871,529,188 × 7,636,871,529,188
  4. Step 4: Simplify right side
    3,489,739,084,766x = 58,321,806,753,322,258,621,530,112
  5. Step 5: Solve for x
    x = 58,321,806,753,322,258,621,530,112/3,489,739,084,766
  6. Step 6: Final answer
    x = 16,712,368,843,825.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.