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Finding the Third Proportional to 9,602,328 and 13,505,352

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Solution

The third proportional to 9,602,328 and 13,505,352 is: 18,994,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602,328 : 13,505,352 = 13,505,352 : x
  2. Step 2: Convert to fraction form
    9,602,328/13,505,352 = 13,505,352/x
  3. Step 3: Cross multiply
    9,602,328x = 13,505,352 × 13,505,352
  4. Step 4: Simplify right side
    9,602,328x = 182,394,532,643,904
  5. Step 5: Solve for x
    x = 182,394,532,643,904/9,602,328
  6. Step 6: Final answer
    x = 18,994,824.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.