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Finding the Third Proportional to 7,621,498,104 and 16,509,453,328

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Solution

The third proportional to 7,621,498,104 and 16,509,453,328 is: 35,762,266,875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,621,498,104 : 16,509,453,328 = 16,509,453,328 : x
  2. Step 2: Convert to fraction form
    7,621,498,104/16,509,453,328 = 16,509,453,328/x
  3. Step 3: Cross multiply
    7,621,498,104x = 16,509,453,328 × 16,509,453,328
  4. Step 4: Simplify right side
    7,621,498,104x = 272,562,049,189,410,275,328
  5. Step 5: Solve for x
    x = 272,562,049,189,410,275,328/7,621,498,104
  6. Step 6: Final answer
    x = 35,762,266,875.90

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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.