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Finding the Third Proportional to 16,586,296 and 25,962,306

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Solution

The third proportional to 16,586,296 and 25,962,306 is: 40,638,448.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586,296 : 25,962,306 = 25,962,306 : x
  2. Step 2: Convert to fraction form
    16,586,296/25,962,306 = 25,962,306/x
  3. Step 3: Cross multiply
    16,586,296x = 25,962,306 × 25,962,306
  4. Step 4: Simplify right side
    16,586,296x = 674,041,332,837,636
  5. Step 5: Solve for x
    x = 674,041,332,837,636/16,586,296
  6. Step 6: Final answer
    x = 40,638,448.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.