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Finding the Third Proportional to 13,751,824,906 and 29,464,068,836

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Solution

The third proportional to 13,751,824,906 and 29,464,068,836 is: 63,128,447,192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751,824,906 : 29,464,068,836 = 29,464,068,836 : x
  2. Step 2: Convert to fraction form
    13,751,824,906/29,464,068,836 = 29,464,068,836/x
  3. Step 3: Cross multiply
    13,751,824,906x = 29,464,068,836 × 29,464,068,836
  4. Step 4: Simplify right side
    13,751,824,906x = 868,131,352,372,546,371,584
  5. Step 5: Solve for x
    x = 868,131,352,372,546,371,584/13,751,824,906
  6. Step 6: Final answer
    x = 63,128,447,192.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.