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Finding the Third Proportional to 2,301,923,610 and 4,990,965,357

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Solution

The third proportional to 2,301,923,610 and 4,990,965,357 is: 10,821,269,257.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301,923,610 : 4,990,965,357 = 4,990,965,357 : x
  2. Step 2: Convert to fraction form
    2,301,923,610/4,990,965,357 = 4,990,965,357/x
  3. Step 3: Cross multiply
    2,301,923,610x = 4,990,965,357 × 4,990,965,357
  4. Step 4: Simplify right side
    2,301,923,610x = 24,909,735,194,774,138,880
  5. Step 5: Solve for x
    x = 24,909,735,194,774,138,880/2,301,923,610
  6. Step 6: Final answer
    x = 10,821,269,257.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.