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Finding the Third Proportional to 2,074,879,674 and 4,481,046,824

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Solution

The third proportional to 2,074,879,674 and 4,481,046,824 is: 9,677,563,904.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074,879,674 : 4,481,046,824 = 4,481,046,824 : x
  2. Step 2: Convert to fraction form
    2,074,879,674/4,481,046,824 = 4,481,046,824/x
  3. Step 3: Cross multiply
    2,074,879,674x = 4,481,046,824 × 4,481,046,824
  4. Step 4: Simplify right side
    2,074,879,674x = 20,079,780,638,880,485,376
  5. Step 5: Solve for x
    x = 20,079,780,638,880,485,376/2,074,879,674
  6. Step 6: Final answer
    x = 9,677,563,904.31

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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.