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Finding the Third Proportional to 1,213,331,966 and 2,614,097,122

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Solution

The third proportional to 1,213,331,966 and 2,614,097,122 is: 5,632,014,942.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213,331,966 : 2,614,097,122 = 2,614,097,122 : x
  2. Step 2: Convert to fraction form
    1,213,331,966/2,614,097,122 = 2,614,097,122/x
  3. Step 3: Cross multiply
    1,213,331,966x = 2,614,097,122 × 2,614,097,122
  4. Step 4: Simplify right side
    1,213,331,966x = 6,833,503,763,248,683,008
  5. Step 5: Solve for x
    x = 6,833,503,763,248,683,008/1,213,331,966
  6. Step 6: Final answer
    x = 5,632,014,942.93

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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.