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Finding the Third Proportional to 2,765,024 and 6,014,748

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Solution

The third proportional to 2,765,024 and 6,014,748 is: 13,083,862.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765,024 : 6,014,748 = 6,014,748 : x
  2. Step 2: Convert to fraction form
    2,765,024/6,014,748 = 6,014,748/x
  3. Step 3: Cross multiply
    2,765,024x = 6,014,748 × 6,014,748
  4. Step 4: Simplify right side
    2,765,024x = 36,177,193,503,504
  5. Step 5: Solve for x
    x = 36,177,193,503,504/2,765,024
  6. Step 6: Final answer
    x = 13,083,862.38

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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.