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Finding the Third Proportional to 5,463,984 and 8,018,824

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Solution

The third proportional to 5,463,984 and 8,018,824 is: 11,768,251.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463,984 : 8,018,824 = 8,018,824 : x
  2. Step 2: Convert to fraction form
    5,463,984/8,018,824 = 8,018,824/x
  3. Step 3: Cross multiply
    5,463,984x = 8,018,824 × 8,018,824
  4. Step 4: Simplify right side
    5,463,984x = 64,301,538,342,976
  5. Step 5: Solve for x
    x = 64,301,538,342,976/5,463,984
  6. Step 6: Final answer
    x = 11,768,251.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.