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Finding the Third Proportional to 2,552,369,838 and 5,540,346,336

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Solution

The third proportional to 2,552,369,838 and 5,540,346,336 is: 12,026,249,905.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552,369,838 : 5,540,346,336 = 5,540,346,336 : x
  2. Step 2: Convert to fraction form
    2,552,369,838/5,540,346,336 = 5,540,346,336/x
  3. Step 3: Cross multiply
    2,552,369,838x = 5,540,346,336 × 5,540,346,336
  4. Step 4: Simplify right side
    2,552,369,838x = 30,695,437,522,828,623,872
  5. Step 5: Solve for x
    x = 30,695,437,522,828,623,872/2,552,369,838
  6. Step 6: Final answer
    x = 12,026,249,905.41

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