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Finding the Third Proportional to 2,752,348,602,100 and 3,826,920,728,262

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Solution

The third proportional to 2,752,348,602,100 and 3,826,920,728,262 is: 5,321,027,376,120.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752,348,602,100 : 3,826,920,728,262 = 3,826,920,728,262 : x
  2. Step 2: Convert to fraction form
    2,752,348,602,100/3,826,920,728,262 = 3,826,920,728,262/x
  3. Step 3: Cross multiply
    2,752,348,602,100x = 3,826,920,728,262 × 3,826,920,728,262
  4. Step 4: Simplify right side
    2,752,348,602,100x = 14,645,322,260,401,355,625,594,880
  5. Step 5: Solve for x
    x = 14,645,322,260,401,355,625,594,880/2,752,348,602,100
  6. Step 6: Final answer
    x = 5,321,027,376,120.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.