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Finding the Third Proportional to 1,848,211,881 and 4,358,558,199

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Solution

The third proportional to 1,848,211,881 and 4,358,558,199 is: 10,278,599,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848,211,881 : 4,358,558,199 = 4,358,558,199 : x
  2. Step 2: Convert to fraction form
    1,848,211,881/4,358,558,199 = 4,358,558,199/x
  3. Step 3: Cross multiply
    1,848,211,881x = 4,358,558,199 × 4,358,558,199
  4. Step 4: Simplify right side
    1,848,211,881x = 18,997,029,574,070,124,544
  5. Step 5: Solve for x
    x = 18,997,029,574,070,124,544/1,848,211,881
  6. Step 6: Final answer
    x = 10,278,599,423.24

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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.