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Finding the Third Proportional to 6,684,084 and 14,270,184

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Solution

The third proportional to 6,684,084 and 14,270,184 is: 30,466,126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684,084 : 14,270,184 = 14,270,184 : x
  2. Step 2: Convert to fraction form
    6,684,084/14,270,184 = 14,270,184/x
  3. Step 3: Cross multiply
    6,684,084x = 14,270,184 × 14,270,184
  4. Step 4: Simplify right side
    6,684,084x = 203,638,151,393,856
  5. Step 5: Solve for x
    x = 203,638,151,393,856/6,684,084
  6. Step 6: Final answer
    x = 30,466,126.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.