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Finding the Third Proportional to 1,458,643,036.50 and 3,193,924,072.50

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Solution

The third proportional to 1,458,643,036.50 and 3,193,924,072.50 is: 6,993,589,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458,643,036.50 : 3,193,924,072.50 = 3,193,924,072.50 : x
  2. Step 2: Convert to fraction form
    1,458,643,036.50/3,193,924,072.50 = 3,193,924,072.50/x
  3. Step 3: Cross multiply
    1,458,643,036.50x = 3,193,924,072.50 × 3,193,924,072.50
  4. Step 4: Simplify right side
    1,458,643,036.50x = 10,201,150,980,894,986,240
  5. Step 5: Solve for x
    x = 10,201,150,980,894,986,240/1,458,643,036.50
  6. Step 6: Final answer
    x = 6,993,589,744.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.