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Finding the Third Proportional to 961,260,816 and 1,973,480,976

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Solution

The third proportional to 961,260,816 and 1,973,480,976 is: 4,051,582,148.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    961,260,816 : 1,973,480,976 = 1,973,480,976 : x
  2. Step 2: Convert to fraction form
    961,260,816/1,973,480,976 = 1,973,480,976/x
  3. Step 3: Cross multiply
    961,260,816x = 1,973,480,976 × 1,973,480,976
  4. Step 4: Simplify right side
    961,260,816x = 3,894,627,162,633,912,320
  5. Step 5: Solve for x
    x = 3,894,627,162,633,912,320/961,260,816
  6. Step 6: Final answer
    x = 4,051,582,148.99

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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.