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Finding the Third Proportional to 2,848,426,433,861 and 3,843,196,054,251

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Solution

The third proportional to 2,848,426,433,861 and 3,843,196,054,251 is: 5,185,373,838,631.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848,426,433,861 : 3,843,196,054,251 = 3,843,196,054,251 : x
  2. Step 2: Convert to fraction form
    2,848,426,433,861/3,843,196,054,251 = 3,843,196,054,251/x
  3. Step 3: Cross multiply
    2,848,426,433,861x = 3,843,196,054,251 × 3,843,196,054,251
  4. Step 4: Simplify right side
    2,848,426,433,861x = 14,770,155,911,410,454,401,908,736
  5. Step 5: Solve for x
    x = 14,770,155,911,410,454,401,908,736/2,848,426,433,861
  6. Step 6: Final answer
    x = 5,185,373,838,631.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.