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Finding the Third Proportional to 9,483,296 and 13,551,420

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Solution

The third proportional to 9,483,296 and 13,551,420 is: 19,364,679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483,296 : 13,551,420 = 13,551,420 : x
  2. Step 2: Convert to fraction form
    9,483,296/13,551,420 = 13,551,420/x
  3. Step 3: Cross multiply
    9,483,296x = 13,551,420 × 13,551,420
  4. Step 4: Simplify right side
    9,483,296x = 183,640,984,016,400
  5. Step 5: Solve for x
    x = 183,640,984,016,400/9,483,296
  6. Step 6: Final answer
    x = 19,364,679.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.