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Finding the Third Proportional to 9,222,656 and 14,733,408

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Solution

The third proportional to 9,222,656 and 14,733,408 is: 23,536,962.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222,656 : 14,733,408 = 14,733,408 : x
  2. Step 2: Convert to fraction form
    9,222,656/14,733,408 = 14,733,408/x
  3. Step 3: Cross multiply
    9,222,656x = 14,733,408 × 14,733,408
  4. Step 4: Simplify right side
    9,222,656x = 217,073,311,294,464
  5. Step 5: Solve for x
    x = 217,073,311,294,464/9,222,656
  6. Step 6: Final answer
    x = 23,536,962.81

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.