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Finding the Third Proportional to 6,310,588 and 9,024,216

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Solution

The third proportional to 6,310,588 and 9,024,216 is: 12,904,736.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310,588 : 9,024,216 = 9,024,216 : x
  2. Step 2: Convert to fraction form
    6,310,588/9,024,216 = 9,024,216/x
  3. Step 3: Cross multiply
    6,310,588x = 9,024,216 × 9,024,216
  4. Step 4: Simplify right side
    6,310,588x = 81,436,474,414,656
  5. Step 5: Solve for x
    x = 81,436,474,414,656/6,310,588
  6. Step 6: Final answer
    x = 12,904,736.36

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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.