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Finding the Third Proportional to 75,313,860,098 and 163,866,029,593

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Solution

The third proportional to 75,313,860,098 and 163,866,029,593 is: 356,535,644,563.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,313,860,098 : 163,866,029,593 = 163,866,029,593 : x
  2. Step 2: Convert to fraction form
    75,313,860,098/163,866,029,593 = 163,866,029,593/x
  3. Step 3: Cross multiply
    75,313,860,098x = 163,866,029,593 × 163,866,029,593
  4. Step 4: Simplify right side
    75,313,860,098x = 26,852,075,654,573,950,238,720
  5. Step 5: Solve for x
    x = 26,852,075,654,573,950,238,720/75,313,860,098
  6. Step 6: Final answer
    x = 356,535,644,563.08

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