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Finding the Third Proportional to 2,738,944 and 6,107,312

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Solution

The third proportional to 2,738,944 and 6,107,312 is: 13,618,117.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738,944 : 6,107,312 = 6,107,312 : x
  2. Step 2: Convert to fraction form
    2,738,944/6,107,312 = 6,107,312/x
  3. Step 3: Cross multiply
    2,738,944x = 6,107,312 × 6,107,312
  4. Step 4: Simplify right side
    2,738,944x = 37,299,259,865,344
  5. Step 5: Solve for x
    x = 37,299,259,865,344/2,738,944
  6. Step 6: Final answer
    x = 13,618,117.01

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.