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Finding the Third Proportional to 46,275,809,676 and 65,166,537,240

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Solution

The third proportional to 46,275,809,676 and 65,166,537,240 is: 91,768,844,361.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,275,809,676 : 65,166,537,240 = 65,166,537,240 : x
  2. Step 2: Convert to fraction form
    46,275,809,676/65,166,537,240 = 65,166,537,240/x
  3. Step 3: Cross multiply
    46,275,809,676x = 65,166,537,240 × 65,166,537,240
  4. Step 4: Simplify right side
    46,275,809,676x = 4,246,677,575,852,306,726,912
  5. Step 5: Solve for x
    x = 4,246,677,575,852,306,726,912/46,275,809,676
  6. Step 6: Final answer
    x = 91,768,844,361.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.