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Finding the Third Proportional to 9,400,218 and 12,683,097

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Solution

The third proportional to 9,400,218 and 12,683,097 is: 17,112,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400,218 : 12,683,097 = 12,683,097 : x
  2. Step 2: Convert to fraction form
    9,400,218/12,683,097 = 12,683,097/x
  3. Step 3: Cross multiply
    9,400,218x = 12,683,097 × 12,683,097
  4. Step 4: Simplify right side
    9,400,218x = 160,860,949,511,409
  5. Step 5: Solve for x
    x = 160,860,949,511,409/9,400,218
  6. Step 6: Final answer
    x = 17,112,470.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.