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Finding the Third Proportional to 1,604,861,976 and 2,217,554,676

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Solution

The third proportional to 1,604,861,976 and 2,217,554,676 is: 3,064,156,802.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604,861,976 : 2,217,554,676 = 2,217,554,676 : x
  2. Step 2: Convert to fraction form
    1,604,861,976/2,217,554,676 = 2,217,554,676/x
  3. Step 3: Cross multiply
    1,604,861,976x = 2,217,554,676 × 2,217,554,676
  4. Step 4: Simplify right side
    1,604,861,976x = 4,917,548,741,049,464,832
  5. Step 5: Solve for x
    x = 4,917,548,741,049,464,832/1,604,861,976
  6. Step 6: Final answer
    x = 3,064,156,802.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.