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Finding the Third Proportional to 21,411,286,668 and 46,380,466,584

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Solution

The third proportional to 21,411,286,668 and 46,380,466,584 is: 100,467,931,418.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,411,286,668 : 46,380,466,584 = 46,380,466,584 : x
  2. Step 2: Convert to fraction form
    21,411,286,668/46,380,466,584 = 46,380,466,584/x
  3. Step 3: Cross multiply
    21,411,286,668x = 46,380,466,584 × 46,380,466,584
  4. Step 4: Simplify right side
    21,411,286,668x = 2,151,147,680,549,540,724,736
  5. Step 5: Solve for x
    x = 2,151,147,680,549,540,724,736/21,411,286,668
  6. Step 6: Final answer
    x = 100,467,931,418.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.