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Finding the Third Proportional to 416,230,915,941 and 662,305,211,658

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Solution

The third proportional to 416,230,915,941 and 662,305,211,658 is: 1,053,857,790,447.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,230,915,941 : 662,305,211,658 = 662,305,211,658 : x
  2. Step 2: Convert to fraction form
    416,230,915,941/662,305,211,658 = 662,305,211,658/x
  3. Step 3: Cross multiply
    416,230,915,941x = 662,305,211,658 × 662,305,211,658
  4. Step 4: Simplify right side
    416,230,915,941x = 438,648,193,389,348,171,808,768
  5. Step 5: Solve for x
    x = 438,648,193,389,348,171,808,768/416,230,915,941
  6. Step 6: Final answer
    x = 1,053,857,790,447.08

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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.