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Finding the Third Proportional to 43,045,486,218 and 60,591,115,560

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Solution

The third proportional to 43,045,486,218 and 60,591,115,560 is: 85,288,461,285.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,045,486,218 : 60,591,115,560 = 60,591,115,560 : x
  2. Step 2: Convert to fraction form
    43,045,486,218/60,591,115,560 = 60,591,115,560/x
  3. Step 3: Cross multiply
    43,045,486,218x = 60,591,115,560 × 60,591,115,560
  4. Step 4: Simplify right side
    43,045,486,218x = 3,671,283,284,805,274,304,512
  5. Step 5: Solve for x
    x = 3,671,283,284,805,274,304,512/43,045,486,218
  6. Step 6: Final answer
    x = 85,288,461,285.17

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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.