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Finding the Third Proportional to 1,365,887,097 and 2,938,936,122

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Solution

The third proportional to 1,365,887,097 and 2,938,936,122 is: 6,323,616,020.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,887,097 : 2,938,936,122 = 2,938,936,122 : x
  2. Step 2: Convert to fraction form
    1,365,887,097/2,938,936,122 = 2,938,936,122/x
  3. Step 3: Cross multiply
    1,365,887,097x = 2,938,936,122 × 2,938,936,122
  4. Step 4: Simplify right side
    1,365,887,097x = 8,637,345,529,196,398,592
  5. Step 5: Solve for x
    x = 8,637,345,529,196,398,592/1,365,887,097
  6. Step 6: Final answer
    x = 6,323,616,020.80

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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.