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Finding the Third Proportional to 1,330,848,900 and 2,967,702,408

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Solution

The third proportional to 1,330,848,900 and 2,967,702,408 is: 6,617,774,251.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330,848,900 : 2,967,702,408 = 2,967,702,408 : x
  2. Step 2: Convert to fraction form
    1,330,848,900/2,967,702,408 = 2,967,702,408/x
  3. Step 3: Cross multiply
    1,330,848,900x = 2,967,702,408 × 2,967,702,408
  4. Step 4: Simplify right side
    1,330,848,900x = 8,807,257,582,448,998,400
  5. Step 5: Solve for x
    x = 8,807,257,582,448,998,400/1,330,848,900
  6. Step 6: Final answer
    x = 6,617,774,251.04

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.