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Finding the Third Proportional to 2,748,972 and 5,686,512

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Solution

The third proportional to 2,748,972 and 5,686,512 is: 11,763,094.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748,972 : 5,686,512 = 5,686,512 : x
  2. Step 2: Convert to fraction form
    2,748,972/5,686,512 = 5,686,512/x
  3. Step 3: Cross multiply
    2,748,972x = 5,686,512 × 5,686,512
  4. Step 4: Simplify right side
    2,748,972x = 32,336,418,726,144
  5. Step 5: Solve for x
    x = 32,336,418,726,144/2,748,972
  6. Step 6: Final answer
    x = 11,763,094.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.