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Finding the Third Proportional to 2,648,119,194 and 5,717,496,852

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Solution

The third proportional to 2,648,119,194 and 5,717,496,852 is: 12,344,523,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648,119,194 : 5,717,496,852 = 5,717,496,852 : x
  2. Step 2: Convert to fraction form
    2,648,119,194/5,717,496,852 = 5,717,496,852/x
  3. Step 3: Cross multiply
    2,648,119,194x = 5,717,496,852 × 5,717,496,852
  4. Step 4: Simplify right side
    2,648,119,194x = 32,689,770,252,629,909,504
  5. Step 5: Solve for x
    x = 32,689,770,252,629,909,504/2,648,119,194
  6. Step 6: Final answer
    x = 12,344,523,738.47

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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.