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Finding the Third Proportional to 1,365,887,090 and 2,938,936,108

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Solution

The third proportional to 1,365,887,090 and 2,938,936,108 is: 6,323,615,992.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365,887,090 : 2,938,936,108 = 2,938,936,108 : x
  2. Step 2: Convert to fraction form
    1,365,887,090/2,938,936,108 = 2,938,936,108/x
  3. Step 3: Cross multiply
    1,365,887,090x = 2,938,936,108 × 2,938,936,108
  4. Step 4: Simplify right side
    1,365,887,090x = 8,637,345,446,906,187,776
  5. Step 5: Solve for x
    x = 8,637,345,446,906,187,776/1,365,887,090
  6. Step 6: Final answer
    x = 6,323,615,992.96

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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.