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Finding the Third Proportional to 5,977,051,650.75 and 13,080,048,813.75

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Solution

The third proportional to 5,977,051,650.75 and 13,080,048,813.75 is: 28,624,092,105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977,051,650.75 : 13,080,048,813.75 = 13,080,048,813.75 : x
  2. Step 2: Convert to fraction form
    5,977,051,650.75/13,080,048,813.75 = 13,080,048,813.75/x
  3. Step 3: Cross multiply
    5,977,051,650.75x = 13,080,048,813.75 × 13,080,048,813.75
  4. Step 4: Simplify right side
    5,977,051,650.75x = 171,087,676,970,082,795,520
  5. Step 5: Solve for x
    x = 171,087,676,970,082,795,520/5,977,051,650.75
  6. Step 6: Final answer
    x = 28,624,092,105.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.