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Finding the Third Proportional to 11,052,146,460 and 24,040,745,824

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Solution

The third proportional to 11,052,146,460 and 24,040,745,824 is: 52,293,684,477.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,052,146,460 : 24,040,745,824 = 24,040,745,824 : x
  2. Step 2: Convert to fraction form
    11,052,146,460/24,040,745,824 = 24,040,745,824/x
  3. Step 3: Cross multiply
    11,052,146,460x = 24,040,745,824 × 24,040,745,824
  4. Step 4: Simplify right side
    11,052,146,460x = 577,957,459,774,173,413,376
  5. Step 5: Solve for x
    x = 577,957,459,774,173,413,376/11,052,146,460
  6. Step 6: Final answer
    x = 52,293,684,477.12

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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.