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Finding the Third Proportional to 2,276,264,766 and 3,414,397,143

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Solution

The third proportional to 2,276,264,766 and 3,414,397,143 is: 5,121,595,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276,264,766 : 3,414,397,143 = 3,414,397,143 : x
  2. Step 2: Convert to fraction form
    2,276,264,766/3,414,397,143 = 3,414,397,143/x
  3. Step 3: Cross multiply
    2,276,264,766x = 3,414,397,143 × 3,414,397,143
  4. Step 4: Simplify right side
    2,276,264,766x = 11,658,107,850,126,563,328
  5. Step 5: Solve for x
    x = 11,658,107,850,126,563,328/2,276,264,766
  6. Step 6: Final answer
    x = 5,121,595,705.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.