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Finding the Third Proportional to 1,749,469,420.41 and 3,855,536,420.06

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Solution

The third proportional to 1,749,469,420.41 and 3,855,536,420.06 is: 8,496,953,941.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749,469,420.41 : 3,855,536,420.06 = 3,855,536,420.06 : x
  2. Step 2: Convert to fraction form
    1,749,469,420.41/3,855,536,420.06 = 3,855,536,420.06/x
  3. Step 3: Cross multiply
    1,749,469,420.41x = 3,855,536,420.06 × 3,855,536,420.06
  4. Step 4: Simplify right side
    1,749,469,420.41x = 14,865,161,086,427,586,560
  5. Step 5: Solve for x
    x = 14,865,161,086,427,586,560/1,749,469,420.41
  6. Step 6: Final answer
    x = 8,496,953,941.03

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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.