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Finding the Third Proportional to 2,552,369,832 and 5,540,346,324

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Solution

The third proportional to 2,552,369,832 and 5,540,346,324 is: 12,026,249,881.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552,369,832 : 5,540,346,324 = 5,540,346,324 : x
  2. Step 2: Convert to fraction form
    2,552,369,832/5,540,346,324 = 5,540,346,324/x
  3. Step 3: Cross multiply
    2,552,369,832x = 5,540,346,324 × 5,540,346,324
  4. Step 4: Simplify right side
    2,552,369,832x = 30,695,437,389,860,311,040
  5. Step 5: Solve for x
    x = 30,695,437,389,860,311,040/2,552,369,832
  6. Step 6: Final answer
    x = 12,026,249,881.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.