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Finding the Third Proportional to 5,787,946 and 12,572,302

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Solution

The third proportional to 5,787,946 and 12,572,302 is: 27,308,958.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787,946 : 12,572,302 = 12,572,302 : x
  2. Step 2: Convert to fraction form
    5,787,946/12,572,302 = 12,572,302/x
  3. Step 3: Cross multiply
    5,787,946x = 12,572,302 × 12,572,302
  4. Step 4: Simplify right side
    5,787,946x = 158,062,777,579,204
  5. Step 5: Solve for x
    x = 158,062,777,579,204/5,787,946
  6. Step 6: Final answer
    x = 27,308,958.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.