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Finding the Third Proportional to 6,989,344 and 14,950,208

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Solution

The third proportional to 6,989,344 and 14,950,208 is: 31,978,497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989,344 : 14,950,208 = 14,950,208 : x
  2. Step 2: Convert to fraction form
    6,989,344/14,950,208 = 14,950,208/x
  3. Step 3: Cross multiply
    6,989,344x = 14,950,208 × 14,950,208
  4. Step 4: Simplify right side
    6,989,344x = 223,508,719,243,264
  5. Step 5: Solve for x
    x = 223,508,719,243,264/6,989,344
  6. Step 6: Final answer
    x = 31,978,497.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.