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Finding the Third Proportional to 11,087,879,289 and 16,911,091,274

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Solution

The third proportional to 11,087,879,289 and 16,911,091,274 is: 25,792,579,502.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,087,879,289 : 16,911,091,274 = 16,911,091,274 : x
  2. Step 2: Convert to fraction form
    11,087,879,289/16,911,091,274 = 16,911,091,274/x
  3. Step 3: Cross multiply
    11,087,879,289x = 16,911,091,274 × 16,911,091,274
  4. Step 4: Simplify right side
    11,087,879,289x = 285,985,008,077,558,939,648
  5. Step 5: Solve for x
    x = 285,985,008,077,558,939,648/11,087,879,289
  6. Step 6: Final answer
    x = 25,792,579,502.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.