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Finding the Third Proportional to 9,523,408 and 14,306,838

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Solution

The third proportional to 9,523,408 and 14,306,838 is: 21,492,895.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523,408 : 14,306,838 = 14,306,838 : x
  2. Step 2: Convert to fraction form
    9,523,408/14,306,838 = 14,306,838/x
  3. Step 3: Cross multiply
    9,523,408x = 14,306,838 × 14,306,838
  4. Step 4: Simplify right side
    9,523,408x = 204,685,613,558,244
  5. Step 5: Solve for x
    x = 204,685,613,558,244/9,523,408
  6. Step 6: Final answer
    x = 21,492,895.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.