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Finding the Third Proportional to 4,661,029,512 and 9,986,890,752

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Solution

The third proportional to 4,661,029,512 and 9,986,890,752 is: 21,398,274,058.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661,029,512 : 9,986,890,752 = 9,986,890,752 : x
  2. Step 2: Convert to fraction form
    4,661,029,512/9,986,890,752 = 9,986,890,752/x
  3. Step 3: Cross multiply
    4,661,029,512x = 9,986,890,752 × 9,986,890,752
  4. Step 4: Simplify right side
    4,661,029,512x = 99,737,986,892,383,125,504
  5. Step 5: Solve for x
    x = 99,737,986,892,383,125,504/4,661,029,512
  6. Step 6: Final answer
    x = 21,398,274,058.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.