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Finding the Third Proportional to 67,179,446,097.75 and 144,328,653,549

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Solution

The third proportional to 67,179,446,097.75 and 144,328,653,549 is: 310,076,391,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,179,446,097.75 : 144,328,653,549 = 144,328,653,549 : x
  2. Step 2: Convert to fraction form
    67,179,446,097.75/144,328,653,549 = 144,328,653,549/x
  3. Step 3: Cross multiply
    67,179,446,097.75x = 144,328,653,549 × 144,328,653,549
  4. Step 4: Simplify right side
    67,179,446,097.75x = 20,830,760,235,267,268,804,608
  5. Step 5: Solve for x
    x = 20,830,760,235,267,268,804,608/67,179,446,097.75
  6. Step 6: Final answer
    x = 310,076,391,593.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.