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Finding the Third Proportional to 7,678,923 and 16,420,724

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Solution

The third proportional to 7,678,923 and 16,420,724 is: 35,114,322.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678,923 : 16,420,724 = 16,420,724 : x
  2. Step 2: Convert to fraction form
    7,678,923/16,420,724 = 16,420,724/x
  3. Step 3: Cross multiply
    7,678,923x = 16,420,724 × 16,420,724
  4. Step 4: Simplify right side
    7,678,923x = 269,640,176,684,176
  5. Step 5: Solve for x
    x = 269,640,176,684,176/7,678,923
  6. Step 6: Final answer
    x = 35,114,322.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.