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Finding the Third Proportional to 1,494,262,915 and 3,270,012,208

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Solution

The third proportional to 1,494,262,915 and 3,270,012,208 is: 7,156,023,035.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494,262,915 : 3,270,012,208 = 3,270,012,208 : x
  2. Step 2: Convert to fraction form
    1,494,262,915/3,270,012,208 = 3,270,012,208/x
  3. Step 3: Cross multiply
    1,494,262,915x = 3,270,012,208 × 3,270,012,208
  4. Step 4: Simplify right side
    1,494,262,915x = 10,692,979,840,469,035,008
  5. Step 5: Solve for x
    x = 10,692,979,840,469,035,008/1,494,262,915
  6. Step 6: Final answer
    x = 7,156,023,035.26

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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.