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Finding the Third Proportional to 612,069,036.75 and 1,328,055,535.13

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Solution

The third proportional to 612,069,036.75 and 1,328,055,535.13 is: 2,881,589,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,069,036.75 : 1,328,055,535.13 = 1,328,055,535.13 : x
  2. Step 2: Convert to fraction form
    612,069,036.75/1,328,055,535.13 = 1,328,055,535.13/x
  3. Step 3: Cross multiply
    612,069,036.75x = 1,328,055,535.13 × 1,328,055,535.13
  4. Step 4: Simplify right side
    612,069,036.75x = 1,763,731,504,376,150,016
  5. Step 5: Solve for x
    x = 1,763,731,504,376,150,016/612,069,036.75
  6. Step 6: Final answer
    x = 2,881,589,164.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.