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Finding the Third Proportional to 7,647,052 and 16,685,360

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Solution

The third proportional to 7,647,052 and 16,685,360 is: 36,406,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647,052 : 16,685,360 = 16,685,360 : x
  2. Step 2: Convert to fraction form
    7,647,052/16,685,360 = 16,685,360/x
  3. Step 3: Cross multiply
    7,647,052x = 16,685,360 × 16,685,360
  4. Step 4: Simplify right side
    7,647,052x = 278,401,238,329,600
  5. Step 5: Solve for x
    x = 278,401,238,329,600/7,647,052
  6. Step 6: Final answer
    x = 36,406,348.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.