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Finding the Third Proportional to 961,260,864 and 1,973,481,072

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Solution

The third proportional to 961,260,864 and 1,973,481,072 is: 4,051,582,340.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,260,864 : 1,973,481,072 = 1,973,481,072 : x
  2. Step 2: Convert to fraction form
    961,260,864/1,973,481,072 = 1,973,481,072/x
  3. Step 3: Cross multiply
    961,260,864x = 1,973,481,072 × 1,973,481,072
  4. Step 4: Simplify right side
    961,260,864x = 3,894,627,541,542,268,928
  5. Step 5: Solve for x
    x = 3,894,627,541,542,268,928/961,260,864
  6. Step 6: Final answer
    x = 4,051,582,340.86

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.