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Finding the Third Proportional to 10,901,709 and 15,879,351.38

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Solution

The third proportional to 10,901,709 and 15,879,351.38 is: 23,129,749.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,901,709 : 15,879,351.38 = 15,879,351.38 : x
  2. Step 2: Convert to fraction form
    10,901,709/15,879,351.38 = 15,879,351.38/x
  3. Step 3: Cross multiply
    10,901,709x = 15,879,351.38 × 15,879,351.38
  4. Step 4: Simplify right side
    10,901,709x = 252,153,800,090,714.38
  5. Step 5: Solve for x
    x = 252,153,800,090,714.38/10,901,709
  6. Step 6: Final answer
    x = 23,129,749.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.