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Finding the Third Proportional to 13,822,637,607,858 and 30,078,616,256,022

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Solution

The third proportional to 13,822,637,607,858 and 30,078,616,256,022 is: 65,452,280,638,733.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822,637,607,858 : 30,078,616,256,022 = 30,078,616,256,022 : x
  2. Step 2: Convert to fraction form
    13,822,637,607,858/30,078,616,256,022 = 30,078,616,256,022/x
  3. Step 3: Cross multiply
    13,822,637,607,858x = 30,078,616,256,022 × 30,078,616,256,022
  4. Step 4: Simplify right side
    13,822,637,607,858x = 904,723,155,877,030,970,548,813,824
  5. Step 5: Solve for x
    x = 904,723,155,877,030,970,548,813,824/13,822,637,607,858
  6. Step 6: Final answer
    x = 65,452,280,638,733.30

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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.