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Finding the Third Proportional to 936,519,560,323.50 and 1,490,186,725,368

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Solution

The third proportional to 936,519,560,323.50 and 1,490,186,725,368 is: 2,371,180,027,137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,519,560,323.50 : 1,490,186,725,368 = 1,490,186,725,368 : x
  2. Step 2: Convert to fraction form
    936,519,560,323.50/1,490,186,725,368 = 1,490,186,725,368/x
  3. Step 3: Cross multiply
    936,519,560,323.50x = 1,490,186,725,368 × 1,490,186,725,368
  4. Step 4: Simplify right side
    936,519,560,323.50x = 2,220,656,476,463,003,030,519,808
  5. Step 5: Solve for x
    x = 2,220,656,476,463,003,030,519,808/936,519,560,323.50
  6. Step 6: Final answer
    x = 2,371,180,027,137.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.