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Finding the Third Proportional to 1,710,906,135,155 and 3,670,178,251,251

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Solution

The third proportional to 1,710,906,135,155 and 3,670,178,251,251 is: 7,873,142,844,704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710,906,135,155 : 3,670,178,251,251 = 3,670,178,251,251 : x
  2. Step 2: Convert to fraction form
    1,710,906,135,155/3,670,178,251,251 = 3,670,178,251,251/x
  3. Step 3: Cross multiply
    1,710,906,135,155x = 3,670,178,251,251 × 3,670,178,251,251
  4. Step 4: Simplify right side
    1,710,906,135,155x = 13,470,208,395,955,848,624,472,064
  5. Step 5: Solve for x
    x = 13,470,208,395,955,848,624,472,064/1,710,906,135,155
  6. Step 6: Final answer
    x = 7,873,142,844,704.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.