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Finding the Third Proportional to 360,395,626,808 and 490,797,328,458

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Solution

The third proportional to 360,395,626,808 and 490,797,328,458 is: 668,382,188,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,395,626,808 : 490,797,328,458 = 490,797,328,458 : x
  2. Step 2: Convert to fraction form
    360,395,626,808/490,797,328,458 = 490,797,328,458/x
  3. Step 3: Cross multiply
    360,395,626,808x = 490,797,328,458 × 490,797,328,458
  4. Step 4: Simplify right side
    360,395,626,808x = 240,882,017,621,509,924,716,544
  5. Step 5: Solve for x
    x = 240,882,017,621,509,924,716,544/360,395,626,808
  6. Step 6: Final answer
    x = 668,382,188,083.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.