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Finding the Third Proportional to 5,678,110 and 12,314,532

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Solution

The third proportional to 5,678,110 and 12,314,532 is: 26,707,425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678,110 : 12,314,532 = 12,314,532 : x
  2. Step 2: Convert to fraction form
    5,678,110/12,314,532 = 12,314,532/x
  3. Step 3: Cross multiply
    5,678,110x = 12,314,532 × 12,314,532
  4. Step 4: Simplify right side
    5,678,110x = 151,647,698,379,024
  5. Step 5: Solve for x
    x = 151,647,698,379,024/5,678,110
  6. Step 6: Final answer
    x = 26,707,425.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.