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Finding the Third Proportional to 374,927,381,157 and 821,483,664,060

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Solution

The third proportional to 374,927,381,157 and 821,483,664,060 is: 1,799,909,647,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,927,381,157 : 821,483,664,060 = 821,483,664,060 : x
  2. Step 2: Convert to fraction form
    374,927,381,157/821,483,664,060 = 821,483,664,060/x
  3. Step 3: Cross multiply
    374,927,381,157x = 821,483,664,060 × 821,483,664,060
  4. Step 4: Simplify right side
    374,927,381,157x = 674,835,410,317,442,872,770,560
  5. Step 5: Solve for x
    x = 674,835,410,317,442,872,770,560/374,927,381,157
  6. Step 6: Final answer
    x = 1,799,909,647,129.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.