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Finding the Third Proportional to 2,159,323,686,510 and 4,497,373,324,689

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Solution

The third proportional to 2,159,323,686,510 and 4,497,373,324,689 is: 9,366,991,594,629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159,323,686,510 : 4,497,373,324,689 = 4,497,373,324,689 : x
  2. Step 2: Convert to fraction form
    2,159,323,686,510/4,497,373,324,689 = 4,497,373,324,689/x
  3. Step 3: Cross multiply
    2,159,323,686,510x = 4,497,373,324,689 × 4,497,373,324,689
  4. Step 4: Simplify right side
    2,159,323,686,510x = 20,226,366,821,624,188,153,888,768
  5. Step 5: Solve for x
    x = 20,226,366,821,624,188,153,888,768/2,159,323,686,510
  6. Step 6: Final answer
    x = 9,366,991,594,629.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.