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Finding the Third Proportional to 478,261,190,335 and 1,054,007,243,016

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Solution

The third proportional to 478,261,190,335 and 1,054,007,243,016 is: 2,322,854,730,387.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,261,190,335 : 1,054,007,243,016 = 1,054,007,243,016 : x
  2. Step 2: Convert to fraction form
    478,261,190,335/1,054,007,243,016 = 1,054,007,243,016/x
  3. Step 3: Cross multiply
    478,261,190,335x = 1,054,007,243,016 × 1,054,007,243,016
  4. Step 4: Simplify right side
    478,261,190,335x = 1,110,931,268,330,189,263,732,736
  5. Step 5: Solve for x
    x = 1,110,931,268,330,189,263,732,736/478,261,190,335
  6. Step 6: Final answer
    x = 2,322,854,730,387.04

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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.