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Finding the Third Proportional to 6,404,543 and 13,946,239

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Solution

The third proportional to 6,404,543 and 13,946,239 is: 30,368,690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404,543 : 13,946,239 = 13,946,239 : x
  2. Step 2: Convert to fraction form
    6,404,543/13,946,239 = 13,946,239/x
  3. Step 3: Cross multiply
    6,404,543x = 13,946,239 × 13,946,239
  4. Step 4: Simplify right side
    6,404,543x = 194,497,582,245,121
  5. Step 5: Solve for x
    x = 194,497,582,245,121/6,404,543
  6. Step 6: Final answer
    x = 30,368,690.20

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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.