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Finding the Third Proportional to 2,303,126,965 and 4,973,247,165

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Solution

The third proportional to 2,303,126,965 and 4,973,247,165 is: 10,738,959,571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303,126,965 : 4,973,247,165 = 4,973,247,165 : x
  2. Step 2: Convert to fraction form
    2,303,126,965/4,973,247,165 = 4,973,247,165/x
  3. Step 3: Cross multiply
    2,303,126,965x = 4,973,247,165 × 4,973,247,165
  4. Step 4: Simplify right side
    2,303,126,965x = 24,733,187,364,180,537,344
  5. Step 5: Solve for x
    x = 24,733,187,364,180,537,344/2,303,126,965
  6. Step 6: Final answer
    x = 10,738,959,571.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.