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Finding the Third Proportional to 769,351,168 and 1,814,343,838

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Solution

The third proportional to 769,351,168 and 1,814,343,838 is: 4,278,726,931.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,351,168 : 1,814,343,838 = 1,814,343,838 : x
  2. Step 2: Convert to fraction form
    769,351,168/1,814,343,838 = 1,814,343,838/x
  3. Step 3: Cross multiply
    769,351,168x = 1,814,343,838 × 1,814,343,838
  4. Step 4: Simplify right side
    769,351,168x = 3,291,843,562,488,570,368
  5. Step 5: Solve for x
    x = 3,291,843,562,488,570,368/769,351,168
  6. Step 6: Final answer
    x = 4,278,726,931.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.