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Finding the Third Proportional to 5,678,102 and 12,314,515

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Solution

The third proportional to 5,678,102 and 12,314,515 is: 26,707,389.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678,102 : 12,314,515 = 12,314,515 : x
  2. Step 2: Convert to fraction form
    5,678,102/12,314,515 = 12,314,515/x
  3. Step 3: Cross multiply
    5,678,102x = 12,314,515 × 12,314,515
  4. Step 4: Simplify right side
    5,678,102x = 151,647,279,685,225
  5. Step 5: Solve for x
    x = 151,647,279,685,225/5,678,102
  6. Step 6: Final answer
    x = 26,707,389.14

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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.