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Finding the Third Proportional to 9,349,816,894,902 and 20,106,749,081,880

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Solution

The third proportional to 9,349,816,894,902 and 20,106,749,081,880 is: 43,239,494,760,813.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349,816,894,902 : 20,106,749,081,880 = 20,106,749,081,880 : x
  2. Step 2: Convert to fraction form
    9,349,816,894,902/20,106,749,081,880 = 20,106,749,081,880/x
  3. Step 3: Cross multiply
    9,349,816,894,902x = 20,106,749,081,880 × 20,106,749,081,880
  4. Step 4: Simplify right side
    9,349,816,894,902x = 404,281,358,641,682,203,537,309,696
  5. Step 5: Solve for x
    x = 404,281,358,641,682,203,537,309,696/9,349,816,894,902
  6. Step 6: Final answer
    x = 43,239,494,760,813.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.