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Finding the Third Proportional to 9,182,565 and 20,043,706

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Solution

The third proportional to 9,182,565 and 20,043,706 is: 43,751,408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182,565 : 20,043,706 = 20,043,706 : x
  2. Step 2: Convert to fraction form
    9,182,565/20,043,706 = 20,043,706/x
  3. Step 3: Cross multiply
    9,182,565x = 20,043,706 × 20,043,706
  4. Step 4: Simplify right side
    9,182,565x = 401,750,150,214,436
  5. Step 5: Solve for x
    x = 401,750,150,214,436/9,182,565
  6. Step 6: Final answer
    x = 43,751,408.26

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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.