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Finding the Third Proportional to 1,365,887,094 and 2,938,936,116

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Solution

The third proportional to 1,365,887,094 and 2,938,936,116 is: 6,323,616,008.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,887,094 : 2,938,936,116 = 2,938,936,116 : x
  2. Step 2: Convert to fraction form
    1,365,887,094/2,938,936,116 = 2,938,936,116/x
  3. Step 3: Cross multiply
    1,365,887,094x = 2,938,936,116 × 2,938,936,116
  4. Step 4: Simplify right side
    1,365,887,094x = 8,637,345,493,929,165,824
  5. Step 5: Solve for x
    x = 8,637,345,493,929,165,824/1,365,887,094
  6. Step 6: Final answer
    x = 6,323,616,008.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.