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Finding the Third Proportional to 12,533,824 and 16,911,096

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Solution

The third proportional to 12,533,824 and 16,911,096 is: 22,817,072.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533,824 : 16,911,096 = 16,911,096 : x
  2. Step 2: Convert to fraction form
    12,533,824/16,911,096 = 16,911,096/x
  3. Step 3: Cross multiply
    12,533,824x = 16,911,096 × 16,911,096
  4. Step 4: Simplify right side
    12,533,824x = 285,985,167,921,216
  5. Step 5: Solve for x
    x = 285,985,167,921,216/12,533,824
  6. Step 6: Final answer
    x = 22,817,072.26

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.