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Finding the Third Proportional to 12,273,408 and 18,400,896

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Solution

The third proportional to 12,273,408 and 18,400,896 is: 27,587,526.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,273,408 : 18,400,896 = 18,400,896 : x
  2. Step 2: Convert to fraction form
    12,273,408/18,400,896 = 18,400,896/x
  3. Step 3: Cross multiply
    12,273,408x = 18,400,896 × 18,400,896
  4. Step 4: Simplify right side
    12,273,408x = 338,592,973,602,816
  5. Step 5: Solve for x
    x = 338,592,973,602,816/12,273,408
  6. Step 6: Final answer
    x = 27,587,526.92

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Why These Related Problems?

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