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Finding the Third Proportional to 27,523,824 and 41,283,066.75

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Solution

The third proportional to 27,523,824 and 41,283,066.75 is: 61,920,596.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,523,824 : 41,283,066.75 = 41,283,066.75 : x
  2. Step 2: Convert to fraction form
    27,523,824/41,283,066.75 = 41,283,066.75/x
  3. Step 3: Cross multiply
    27,523,824x = 41,283,066.75 × 41,283,066.75
  4. Step 4: Simplify right side
    27,523,824x = 1,704,291,600,284,955.50
  5. Step 5: Solve for x
    x = 1,704,291,600,284,955.50/27,523,824
  6. Step 6: Final answer
    x = 61,920,596.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.