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Finding the Third Proportional to 8,381,364,608 and 18,250,764,024

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Solution

The third proportional to 8,381,364,608 and 18,250,764,024 is: 39,741,784,666.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381,364,608 : 18,250,764,024 = 18,250,764,024 : x
  2. Step 2: Convert to fraction form
    8,381,364,608/18,250,764,024 = 18,250,764,024/x
  3. Step 3: Cross multiply
    8,381,364,608x = 18,250,764,024 × 18,250,764,024
  4. Step 4: Simplify right side
    8,381,364,608x = 333,090,387,459,732,668,416
  5. Step 5: Solve for x
    x = 333,090,387,459,732,668,416/8,381,364,608
  6. Step 6: Final answer
    x = 39,741,784,666.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.