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Finding the Third Proportional to 2,954,342,674 and 6,398,938,820

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Solution

The third proportional to 2,954,342,674 and 6,398,938,820 is: 13,859,738,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954,342,674 : 6,398,938,820 = 6,398,938,820 : x
  2. Step 2: Convert to fraction form
    2,954,342,674/6,398,938,820 = 6,398,938,820/x
  3. Step 3: Cross multiply
    2,954,342,674x = 6,398,938,820 × 6,398,938,820
  4. Step 4: Simplify right side
    2,954,342,674x = 40,946,418,022,102,990,848
  5. Step 5: Solve for x
    x = 40,946,418,022,102,990,848/2,954,342,674
  6. Step 6: Final answer
    x = 13,859,738,879.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.