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Finding the Third Proportional to 1,724,946,874 and 3,752,122,286

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Solution

The third proportional to 1,724,946,874 and 3,752,122,286 is: 8,161,655,214.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724,946,874 : 3,752,122,286 = 3,752,122,286 : x
  2. Step 2: Convert to fraction form
    1,724,946,874/3,752,122,286 = 3,752,122,286/x
  3. Step 3: Cross multiply
    1,724,946,874x = 3,752,122,286 × 3,752,122,286
  4. Step 4: Simplify right side
    1,724,946,874x = 14,078,421,649,097,865,216
  5. Step 5: Solve for x
    x = 14,078,421,649,097,865,216/1,724,946,874
  6. Step 6: Final answer
    x = 8,161,655,214.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.