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Finding the Third Proportional to 9,368,138 and 20,890,314

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Solution

The third proportional to 9,368,138 and 20,890,314 is: 46,583,987.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368,138 : 20,890,314 = 20,890,314 : x
  2. Step 2: Convert to fraction form
    9,368,138/20,890,314 = 20,890,314/x
  3. Step 3: Cross multiply
    9,368,138x = 20,890,314 × 20,890,314
  4. Step 4: Simplify right side
    9,368,138x = 436,405,219,018,596
  5. Step 5: Solve for x
    x = 436,405,219,018,596/9,368,138
  6. Step 6: Final answer
    x = 46,583,987.02

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.