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Finding the Third Proportional to 3,777,526,318.50 and 8,085,705,300

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Solution

The third proportional to 3,777,526,318.50 and 8,085,705,300 is: 17,307,260,012.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777,526,318.50 : 8,085,705,300 = 8,085,705,300 : x
  2. Step 2: Convert to fraction form
    3,777,526,318.50/8,085,705,300 = 8,085,705,300/x
  3. Step 3: Cross multiply
    3,777,526,318.50x = 8,085,705,300 × 8,085,705,300
  4. Step 4: Simplify right side
    3,777,526,318.50x = 65,378,630,198,448,087,040
  5. Step 5: Solve for x
    x = 65,378,630,198,448,087,040/3,777,526,318.50
  6. Step 6: Final answer
    x = 17,307,260,012.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.