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Finding the Third Proportional to 7,621,498,176 and 16,509,453,488

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Solution

The third proportional to 7,621,498,176 and 16,509,453,488 is: 35,762,267,231.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,621,498,176 : 16,509,453,488 = 16,509,453,488 : x
  2. Step 2: Convert to fraction form
    7,621,498,176/16,509,453,488 = 16,509,453,488/x
  3. Step 3: Cross multiply
    7,621,498,176x = 16,509,453,488 × 16,509,453,488
  4. Step 4: Simplify right side
    7,621,498,176x = 272,562,054,472,435,367,936
  5. Step 5: Solve for x
    x = 272,562,054,472,435,367,936/7,621,498,176
  6. Step 6: Final answer
    x = 35,762,267,231.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.