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Finding the Third Proportional to 2,273,768,703 and 4,947,919,900.50

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Solution

The third proportional to 2,273,768,703 and 4,947,919,900.50 is: 10,767,107,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273,768,703 : 4,947,919,900.50 = 4,947,919,900.50 : x
  2. Step 2: Convert to fraction form
    2,273,768,703/4,947,919,900.50 = 4,947,919,900.50/x
  3. Step 3: Cross multiply
    2,273,768,703x = 4,947,919,900.50 × 4,947,919,900.50
  4. Step 4: Simplify right side
    2,273,768,703x = 24,481,911,341,763,928,064
  5. Step 5: Solve for x
    x = 24,481,911,341,763,928,064/2,273,768,703
  6. Step 6: Final answer
    x = 10,767,107,186.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.