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Finding the Third Proportional to 478,261,190,340 and 1,054,007,243,022

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Solution

The third proportional to 478,261,190,340 and 1,054,007,243,022 is: 2,322,854,730,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,261,190,340 : 1,054,007,243,022 = 1,054,007,243,022 : x
  2. Step 2: Convert to fraction form
    478,261,190,340/1,054,007,243,022 = 1,054,007,243,022/x
  3. Step 3: Cross multiply
    478,261,190,340x = 1,054,007,243,022 × 1,054,007,243,022
  4. Step 4: Simplify right side
    478,261,190,340x = 1,110,931,268,342,837,405,548,544
  5. Step 5: Solve for x
    x = 1,110,931,268,342,837,405,548,544/478,261,190,340
  6. Step 6: Final answer
    x = 2,322,854,730,389.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.