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Finding the Third Proportional to 2,752,348,602,102 and 3,826,920,728,265

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Solution

The third proportional to 2,752,348,602,102 and 3,826,920,728,265 is: 5,321,027,376,125.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752,348,602,102 : 3,826,920,728,265 = 3,826,920,728,265 : x
  2. Step 2: Convert to fraction form
    2,752,348,602,102/3,826,920,728,265 = 3,826,920,728,265/x
  3. Step 3: Cross multiply
    2,752,348,602,102x = 3,826,920,728,265 × 3,826,920,728,265
  4. Step 4: Simplify right side
    2,752,348,602,102x = 14,645,322,260,424,318,668,242,944
  5. Step 5: Solve for x
    x = 14,645,322,260,424,318,668,242,944/2,752,348,602,102
  6. Step 6: Final answer
    x = 5,321,027,376,125.07

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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.