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Finding the Third Proportional to 2,416,214,469 and 5,201,701,738

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Solution

The third proportional to 2,416,214,469 and 5,201,701,738 is: 11,198,385,457.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416,214,469 : 5,201,701,738 = 5,201,701,738 : x
  2. Step 2: Convert to fraction form
    2,416,214,469/5,201,701,738 = 5,201,701,738/x
  3. Step 3: Cross multiply
    2,416,214,469x = 5,201,701,738 × 5,201,701,738
  4. Step 4: Simplify right side
    2,416,214,469x = 27,057,700,971,112,218,624
  5. Step 5: Solve for x
    x = 27,057,700,971,112,218,624/2,416,214,469
  6. Step 6: Final answer
    x = 11,198,385,457.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.