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Finding the Third Proportional to 1,902,198,924 and 3,857,883,363

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Solution

The third proportional to 1,902,198,924 and 3,857,883,363 is: 7,824,241,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,902,198,924 : 3,857,883,363 = 3,857,883,363 : x
  2. Step 2: Convert to fraction form
    1,902,198,924/3,857,883,363 = 3,857,883,363/x
  3. Step 3: Cross multiply
    1,902,198,924x = 3,857,883,363 × 3,857,883,363
  4. Step 4: Simplify right side
    1,902,198,924x = 14,883,264,042,512,189,440
  5. Step 5: Solve for x
    x = 14,883,264,042,512,189,440/1,902,198,924
  6. Step 6: Final answer
    x = 7,824,241,647.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.