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Finding the Third Proportional to 7,460,214 and 16,269,132

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Solution

The third proportional to 7,460,214 and 16,269,132 is: 35,479,499.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460,214 : 16,269,132 = 16,269,132 : x
  2. Step 2: Convert to fraction form
    7,460,214/16,269,132 = 16,269,132/x
  3. Step 3: Cross multiply
    7,460,214x = 16,269,132 × 16,269,132
  4. Step 4: Simplify right side
    7,460,214x = 264,684,656,033,424
  5. Step 5: Solve for x
    x = 264,684,656,033,424/7,460,214
  6. Step 6: Final answer
    x = 35,479,499.12

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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.