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Finding the Third Proportional to 3,184,811,803,296 and 7,018,789,682,664

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Solution

The third proportional to 3,184,811,803,296 and 7,018,789,682,664 is: 15,468,232,238,554.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184,811,803,296 : 7,018,789,682,664 = 7,018,789,682,664 : x
  2. Step 2: Convert to fraction form
    3,184,811,803,296/7,018,789,682,664 = 7,018,789,682,664/x
  3. Step 3: Cross multiply
    3,184,811,803,296x = 7,018,789,682,664 × 7,018,789,682,664
  4. Step 4: Simplify right side
    3,184,811,803,296x = 49,263,408,609,470,615,488,823,296
  5. Step 5: Solve for x
    x = 49,263,408,609,470,615,488,823,296/3,184,811,803,296
  6. Step 6: Final answer
    x = 15,468,232,238,554.04

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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.