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Finding the Third Proportional to 7,530,690 and 16,498,968

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Solution

The third proportional to 7,530,690 and 16,498,968 is: 36,147,543.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,530,690 : 16,498,968 = 16,498,968 : x
  2. Step 2: Convert to fraction form
    7,530,690/16,498,968 = 16,498,968/x
  3. Step 3: Cross multiply
    7,530,690x = 16,498,968 × 16,498,968
  4. Step 4: Simplify right side
    7,530,690x = 272,215,945,065,024
  5. Step 5: Solve for x
    x = 272,215,945,065,024/7,530,690
  6. Step 6: Final answer
    x = 36,147,543.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.