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Finding the Third Proportional to 2,457,416,649 and 5,415,733,086

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Solution

The third proportional to 2,457,416,649 and 5,415,733,086 is: 11,935,365,079.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,416,649 : 5,415,733,086 = 5,415,733,086 : x
  2. Step 2: Convert to fraction form
    2,457,416,649/5,415,733,086 = 5,415,733,086/x
  3. Step 3: Cross multiply
    2,457,416,649x = 5,415,733,086 × 5,415,733,086
  4. Step 4: Simplify right side
    2,457,416,649x = 29,330,164,858,795,081,728
  5. Step 5: Solve for x
    x = 29,330,164,858,795,081,728/2,457,416,649
  6. Step 6: Final answer
    x = 11,935,365,079.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.