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Finding the Third Proportional to 68,104,803,024 and 159,123,550,032

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Solution

The third proportional to 68,104,803,024 and 159,123,550,032 is: 371,784,412,413.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,104,803,024 : 159,123,550,032 = 159,123,550,032 : x
  2. Step 2: Convert to fraction form
    68,104,803,024/159,123,550,032 = 159,123,550,032/x
  3. Step 3: Cross multiply
    68,104,803,024x = 159,123,550,032 × 159,123,550,032
  4. Step 4: Simplify right side
    68,104,803,024x = 25,320,304,174,786,406,252,544
  5. Step 5: Solve for x
    x = 25,320,304,174,786,406,252,544/68,104,803,024
  6. Step 6: Final answer
    x = 371,784,412,413.08

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.