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Finding the Third Proportional to 1,492,356,289.50 and 3,194,353,143

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Solution

The third proportional to 1,492,356,289.50 and 3,194,353,143 is: 6,837,436,927.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492,356,289.50 : 3,194,353,143 = 3,194,353,143 : x
  2. Step 2: Convert to fraction form
    1,492,356,289.50/3,194,353,143 = 3,194,353,143/x
  3. Step 3: Cross multiply
    1,492,356,289.50x = 3,194,353,143 × 3,194,353,143
  4. Step 4: Simplify right side
    1,492,356,289.50x = 10,203,892,002,193,979,392
  5. Step 5: Solve for x
    x = 10,203,892,002,193,979,392/1,492,356,289.50
  6. Step 6: Final answer
    x = 6,837,436,927.08

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.