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Finding the Third Proportional to 510,076,589,290 and 1,180,858,569,957

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Solution

The third proportional to 510,076,589,290 and 1,180,858,569,957 is: 2,733,759,971,579.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,076,589,290 : 1,180,858,569,957 = 1,180,858,569,957 : x
  2. Step 2: Convert to fraction form
    510,076,589,290/1,180,858,569,957 = 1,180,858,569,957/x
  3. Step 3: Cross multiply
    510,076,589,290x = 1,180,858,569,957 × 1,180,858,569,957
  4. Step 4: Simplify right side
    510,076,589,290x = 1,394,426,962,240,890,998,882,304
  5. Step 5: Solve for x
    x = 1,394,426,962,240,890,998,882,304/510,076,589,290
  6. Step 6: Final answer
    x = 2,733,759,971,579.68

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.