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Finding the Third Proportional to 301,912,626.38 and 658,480,023

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Solution

The third proportional to 301,912,626.38 and 658,480,023 is: 1,436,163,654.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,912,626.38 : 658,480,023 = 658,480,023 : x
  2. Step 2: Convert to fraction form
    301,912,626.38/658,480,023 = 658,480,023/x
  3. Step 3: Cross multiply
    301,912,626.38x = 658,480,023 × 658,480,023
  4. Step 4: Simplify right side
    301,912,626.38x = 433,595,940,690,080,512
  5. Step 5: Solve for x
    x = 433,595,940,690,080,512/301,912,626.38
  6. Step 6: Final answer
    x = 1,436,163,654.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.