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Finding the Third Proportional to 1,721,780,907.75 and 2,582,222,958

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Solution

The third proportional to 1,721,780,907.75 and 2,582,222,958 is: 3,872,661,948.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721,780,907.75 : 2,582,222,958 = 2,582,222,958 : x
  2. Step 2: Convert to fraction form
    1,721,780,907.75/2,582,222,958 = 2,582,222,958/x
  3. Step 3: Cross multiply
    1,721,780,907.75x = 2,582,222,958 × 2,582,222,958
  4. Step 4: Simplify right side
    1,721,780,907.75x = 6,667,875,404,822,269,952
  5. Step 5: Solve for x
    x = 6,667,875,404,822,269,952/1,721,780,907.75
  6. Step 6: Final answer
    x = 3,872,661,948.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.