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Finding the Third Proportional to 9,309,500 and 14,530,031.50

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Solution

The third proportional to 9,309,500 and 14,530,031.50 is: 22,678,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309,500 : 14,530,031.50 = 14,530,031.50 : x
  2. Step 2: Convert to fraction form
    9,309,500/14,530,031.50 = 14,530,031.50/x
  3. Step 3: Cross multiply
    9,309,500x = 14,530,031.50 × 14,530,031.50
  4. Step 4: Simplify right side
    9,309,500x = 211,121,815,390,992.25
  5. Step 5: Solve for x
    x = 211,121,815,390,992.25/9,309,500
  6. Step 6: Final answer
    x = 22,678,104.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.