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Finding the Third Proportional to 6,404,541 and 13,946,235

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Solution

The third proportional to 6,404,541 and 13,946,235 is: 30,368,682.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404,541 : 13,946,235 = 13,946,235 : x
  2. Step 2: Convert to fraction form
    6,404,541/13,946,235 = 13,946,235/x
  3. Step 3: Cross multiply
    6,404,541x = 13,946,235 × 13,946,235
  4. Step 4: Simplify right side
    6,404,541x = 194,497,470,675,225
  5. Step 5: Solve for x
    x = 194,497,470,675,225/6,404,541
  6. Step 6: Final answer
    x = 30,368,682.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.