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Finding the Third Proportional to 2,783,074,162 and 5,964,536,984

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Solution

The third proportional to 2,783,074,162 and 5,964,536,984 is: 12,782,879,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783,074,162 : 5,964,536,984 = 5,964,536,984 : x
  2. Step 2: Convert to fraction form
    2,783,074,162/5,964,536,984 = 5,964,536,984/x
  3. Step 3: Cross multiply
    2,783,074,162x = 5,964,536,984 × 5,964,536,984
  4. Step 4: Simplify right side
    2,783,074,162x = 35,575,701,433,503,817,728
  5. Step 5: Solve for x
    x = 35,575,701,433,503,817,728/2,783,074,162
  6. Step 6: Final answer
    x = 12,782,879,421.34

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Why These Related Problems?

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