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Finding the Third Proportional to 2,265,738,276 and 3,499,226,952

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Solution

The third proportional to 2,265,738,276 and 3,499,226,952 is: 5,404,238,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265,738,276 : 3,499,226,952 = 3,499,226,952 : x
  2. Step 2: Convert to fraction form
    2,265,738,276/3,499,226,952 = 3,499,226,952/x
  3. Step 3: Cross multiply
    2,265,738,276x = 3,499,226,952 × 3,499,226,952
  4. Step 4: Simplify right side
    2,265,738,276x = 12,244,589,261,603,211,264
  5. Step 5: Solve for x
    x = 12,244,589,261,603,211,264/2,265,738,276
  6. Step 6: Final answer
    x = 5,404,238,164.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.