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Finding the Third Proportional to 10,780,096 and 16,213,872

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Solution

The third proportional to 10,780,096 and 16,213,872 is: 24,386,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780,096 : 16,213,872 = 16,213,872 : x
  2. Step 2: Convert to fraction form
    10,780,096/16,213,872 = 16,213,872/x
  3. Step 3: Cross multiply
    10,780,096x = 16,213,872 × 16,213,872
  4. Step 4: Simplify right side
    10,780,096x = 262,889,645,232,384
  5. Step 5: Solve for x
    x = 262,889,645,232,384/10,780,096
  6. Step 6: Final answer
    x = 24,386,577.38

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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.