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Finding the Third Proportional to 11,413,193,680 and 23,147,300,416

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Solution

The third proportional to 11,413,193,680 and 23,147,300,416 is: 46,945,450,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,413,193,680 : 23,147,300,416 = 23,147,300,416 : x
  2. Step 2: Convert to fraction form
    11,413,193,680/23,147,300,416 = 23,147,300,416/x
  3. Step 3: Cross multiply
    11,413,193,680x = 23,147,300,416 × 23,147,300,416
  4. Step 4: Simplify right side
    11,413,193,680x = 535,797,516,548,553,768,960
  5. Step 5: Solve for x
    x = 535,797,516,548,553,768,960/11,413,193,680
  6. Step 6: Final answer
    x = 46,945,450,289.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.