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Finding the Third Proportional to 924,650,820,296 and 1,414,612,222,047

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Solution

The third proportional to 924,650,820,296 and 1,414,612,222,047 is: 2,164,198,305,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,650,820,296 : 1,414,612,222,047 = 1,414,612,222,047 : x
  2. Step 2: Convert to fraction form
    924,650,820,296/1,414,612,222,047 = 1,414,612,222,047/x
  3. Step 3: Cross multiply
    924,650,820,296x = 1,414,612,222,047 × 1,414,612,222,047
  4. Step 4: Simplify right side
    924,650,820,296x = 2,001,127,738,764,750,879,719,424
  5. Step 5: Solve for x
    x = 2,001,127,738,764,750,879,719,424/924,650,820,296
  6. Step 6: Final answer
    x = 2,164,198,305,825.49

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.