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Finding the Third Proportional to 8,395,748,800 and 18,373,072,640

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Solution

The third proportional to 8,395,748,800 and 18,373,072,640 is: 40,207,229,429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,395,748,800 : 18,373,072,640 = 18,373,072,640 : x
  2. Step 2: Convert to fraction form
    8,395,748,800/18,373,072,640 = 18,373,072,640/x
  3. Step 3: Cross multiply
    8,395,748,800x = 18,373,072,640 × 18,373,072,640
  4. Step 4: Simplify right side
    8,395,748,800x = 337,569,798,234,716,569,600
  5. Step 5: Solve for x
    x = 337,569,798,234,716,569,600/8,395,748,800
  6. Step 6: Final answer
    x = 40,207,229,429.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.