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Finding the Third Proportional to 75,313,860,096 and 163,866,029,589

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Solution

The third proportional to 75,313,860,096 and 163,866,029,589 is: 356,535,644,555.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,313,860,096 : 163,866,029,589 = 163,866,029,589 : x
  2. Step 2: Convert to fraction form
    75,313,860,096/163,866,029,589 = 163,866,029,589/x
  3. Step 3: Cross multiply
    75,313,860,096x = 163,866,029,589 × 163,866,029,589
  4. Step 4: Simplify right side
    75,313,860,096x = 26,852,075,653,263,024,717,824
  5. Step 5: Solve for x
    x = 26,852,075,653,263,024,717,824/75,313,860,096
  6. Step 6: Final answer
    x = 356,535,644,555.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.