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Finding the Third Proportional to 416,230,915,699 and 662,305,211,273

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Solution

The third proportional to 416,230,915,699 and 662,305,211,273 is: 1,053,857,789,834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,230,915,699 : 662,305,211,273 = 662,305,211,273 : x
  2. Step 2: Convert to fraction form
    416,230,915,699/662,305,211,273 = 662,305,211,273/x
  3. Step 3: Cross multiply
    416,230,915,699x = 662,305,211,273 × 662,305,211,273
  4. Step 4: Simplify right side
    416,230,915,699x = 438,648,192,879,373,150,322,688
  5. Step 5: Solve for x
    x = 438,648,192,879,373,150,322,688/416,230,915,699
  6. Step 6: Final answer
    x = 1,053,857,789,834.58

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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.