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Finding the Third Proportional to 23,987,948.50 and 35,082,266.50

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Solution

The third proportional to 23,987,948.50 and 35,082,266.50 is: 51,307,656.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,987,948.50 : 35,082,266.50 = 35,082,266.50 : x
  2. Step 2: Convert to fraction form
    23,987,948.50/35,082,266.50 = 35,082,266.50/x
  3. Step 3: Cross multiply
    23,987,948.50x = 35,082,266.50 × 35,082,266.50
  4. Step 4: Simplify right side
    23,987,948.50x = 1,230,765,422,777,022.25
  5. Step 5: Solve for x
    x = 1,230,765,422,777,022.25/23,987,948.50
  6. Step 6: Final answer
    x = 51,307,656.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.