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Finding the Third Proportional to 11,668,728,748.50 and 25,107,235,683.75

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Solution

The third proportional to 11,668,728,748.50 and 25,107,235,683.75 is: 54,022,447,283.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668,728,748.50 : 25,107,235,683.75 = 25,107,235,683.75 : x
  2. Step 2: Convert to fraction form
    11,668,728,748.50/25,107,235,683.75 = 25,107,235,683.75/x
  3. Step 3: Cross multiply
    11,668,728,748.50x = 25,107,235,683.75 × 25,107,235,683.75
  4. Step 4: Simplify right side
    11,668,728,748.50x = 630,373,283,679,369,297,920
  5. Step 5: Solve for x
    x = 630,373,283,679,369,297,920/11,668,728,748.50
  6. Step 6: Final answer
    x = 54,022,447,283.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.