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Finding the Third Proportional to 1,633,410,152 and 2,510,668,400

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Solution

The third proportional to 1,633,410,152 and 2,510,668,400 is: 3,859,077,162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633,410,152 : 2,510,668,400 = 2,510,668,400 : x
  2. Step 2: Convert to fraction form
    1,633,410,152/2,510,668,400 = 2,510,668,400/x
  3. Step 3: Cross multiply
    1,633,410,152x = 2,510,668,400 × 2,510,668,400
  4. Step 4: Simplify right side
    1,633,410,152x = 6,303,455,814,758,559,744
  5. Step 5: Solve for x
    x = 6,303,455,814,758,559,744/1,633,410,152
  6. Step 6: Final answer
    x = 3,859,077,162.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.