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Finding the Third Proportional to 11,610,819 and 16,241,310

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Solution

The third proportional to 11,610,819 and 16,241,310 is: 22,718,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610,819 : 16,241,310 = 16,241,310 : x
  2. Step 2: Convert to fraction form
    11,610,819/16,241,310 = 16,241,310/x
  3. Step 3: Cross multiply
    11,610,819x = 16,241,310 × 16,241,310
  4. Step 4: Simplify right side
    11,610,819x = 263,780,150,516,100
  5. Step 5: Solve for x
    x = 263,780,150,516,100/11,610,819
  6. Step 6: Final answer
    x = 22,718,479.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.