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Finding the Third Proportional to 7,765,024 and 16,525,868

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Solution

The third proportional to 7,765,024 and 16,525,868 is: 35,171,084.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765,024 : 16,525,868 = 16,525,868 : x
  2. Step 2: Convert to fraction form
    7,765,024/16,525,868 = 16,525,868/x
  3. Step 3: Cross multiply
    7,765,024x = 16,525,868 × 16,525,868
  4. Step 4: Simplify right side
    7,765,024x = 273,104,313,153,424
  5. Step 5: Solve for x
    x = 273,104,313,153,424/7,765,024
  6. Step 6: Final answer
    x = 35,171,084.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.