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Finding the Third Proportional to 366,548,694,897 and 789,117,440,719

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Solution

The third proportional to 366,548,694,897 and 789,117,440,719 is: 1,698,836,590,925.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,548,694,897 : 789,117,440,719 = 789,117,440,719 : x
  2. Step 2: Convert to fraction form
    366,548,694,897/789,117,440,719 = 789,117,440,719/x
  3. Step 3: Cross multiply
    366,548,694,897x = 789,117,440,719 × 789,117,440,719
  4. Step 4: Simplify right side
    366,548,694,897x = 622,706,335,246,904,478,138,368
  5. Step 5: Solve for x
    x = 622,706,335,246,904,478,138,368/366,548,694,897
  6. Step 6: Final answer
    x = 1,698,836,590,925.21

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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.