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Finding the Third Proportional to 23,680,209,736 and 52,654,940,432

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Solution

The third proportional to 23,680,209,736 and 52,654,940,432 is: 117,082,694,064.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,680,209,736 : 52,654,940,432 = 52,654,940,432 : x
  2. Step 2: Convert to fraction form
    23,680,209,736/52,654,940,432 = 52,654,940,432/x
  3. Step 3: Cross multiply
    23,680,209,736x = 52,654,940,432 × 52,654,940,432
  4. Step 4: Simplify right side
    23,680,209,736x = 2,772,542,751,897,468,534,784
  5. Step 5: Solve for x
    x = 2,772,542,751,897,468,534,784/23,680,209,736
  6. Step 6: Final answer
    x = 117,082,694,064.25

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.