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Finding the Third Proportional to 607,339,706,966 and 1,306,081,951,524

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Solution

The third proportional to 607,339,706,966 and 1,306,081,951,524 is: 2,808,724,745,856.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,339,706,966 : 1,306,081,951,524 = 1,306,081,951,524 : x
  2. Step 2: Convert to fraction form
    607,339,706,966/1,306,081,951,524 = 1,306,081,951,524/x
  3. Step 3: Cross multiply
    607,339,706,966x = 1,306,081,951,524 × 1,306,081,951,524
  4. Step 4: Simplify right side
    607,339,706,966x = 1,705,850,064,096,740,325,195,776
  5. Step 5: Solve for x
    x = 1,705,850,064,096,740,325,195,776/607,339,706,966
  6. Step 6: Final answer
    x = 2,808,724,745,856.67

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Why These Related Problems?

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