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Finding the Third Proportional to 3,808,988,508,336 and 8,223,904,314,912

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Solution

The third proportional to 3,808,988,508,336 and 8,223,904,314,912 is: 17,756,053,091,999.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808,988,508,336 : 8,223,904,314,912 = 8,223,904,314,912 : x
  2. Step 2: Convert to fraction form
    3,808,988,508,336/8,223,904,314,912 = 8,223,904,314,912/x
  3. Step 3: Cross multiply
    3,808,988,508,336x = 8,223,904,314,912 × 8,223,904,314,912
  4. Step 4: Simplify right side
    3,808,988,508,336x = 67,632,602,180,828,214,738,288,640
  5. Step 5: Solve for x
    x = 67,632,602,180,828,214,738,288,640/3,808,988,508,336
  6. Step 6: Final answer
    x = 17,756,053,091,999.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.