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Finding the Third Proportional to 4,767,378,704 and 10,263,358,285

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Solution

The third proportional to 4,767,378,704 and 10,263,358,285 is: 22,095,270,761.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767,378,704 : 10,263,358,285 = 10,263,358,285 : x
  2. Step 2: Convert to fraction form
    4,767,378,704/10,263,358,285 = 10,263,358,285/x
  3. Step 3: Cross multiply
    4,767,378,704x = 10,263,358,285 × 10,263,358,285
  4. Step 4: Simplify right side
    4,767,378,704x = 105,336,523,286,278,144,000
  5. Step 5: Solve for x
    x = 105,336,523,286,278,144,000/4,767,378,704
  6. Step 6: Final answer
    x = 22,095,270,761.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.