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Finding the Third Proportional to 3,382,273,856 and 7,429,675,648

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Solution

The third proportional to 3,382,273,856 and 7,429,675,648 is: 16,320,405,320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,382,273,856 : 7,429,675,648 = 7,429,675,648 : x
  2. Step 2: Convert to fraction form
    3,382,273,856/7,429,675,648 = 7,429,675,648/x
  3. Step 3: Cross multiply
    3,382,273,856x = 7,429,675,648 × 7,429,675,648
  4. Step 4: Simplify right side
    3,382,273,856x = 55,200,080,234,484,219,904
  5. Step 5: Solve for x
    x = 55,200,080,234,484,219,904/3,382,273,856
  6. Step 6: Final answer
    x = 16,320,405,320.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.