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Finding the Third Proportional to 968,374,140.75 and 2,071,379,994.75

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Solution

The third proportional to 968,374,140.75 and 2,071,379,994.75 is: 4,430,741,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    968,374,140.75 : 2,071,379,994.75 = 2,071,379,994.75 : x
  2. Step 2: Convert to fraction form
    968,374,140.75/2,071,379,994.75 = 2,071,379,994.75/x
  3. Step 3: Cross multiply
    968,374,140.75x = 2,071,379,994.75 × 2,071,379,994.75
  4. Step 4: Simplify right side
    968,374,140.75x = 4,290,615,082,650,509,824
  5. Step 5: Solve for x
    x = 4,290,615,082,650,509,824/968,374,140.75
  6. Step 6: Final answer
    x = 4,430,741,076.30

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.