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Finding the Third Proportional to 11,832,169 and 16,908,445

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Solution

The third proportional to 11,832,169 and 16,908,445 is: 24,162,561.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832,169 : 16,908,445 = 16,908,445 : x
  2. Step 2: Convert to fraction form
    11,832,169/16,908,445 = 16,908,445/x
  3. Step 3: Cross multiply
    11,832,169x = 16,908,445 × 16,908,445
  4. Step 4: Simplify right side
    11,832,169x = 285,895,512,318,025
  5. Step 5: Solve for x
    x = 285,895,512,318,025/11,832,169
  6. Step 6: Final answer
    x = 24,162,561.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.