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Finding the Third Proportional to 5,300,018 and 11,439,268

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Solution

The third proportional to 5,300,018 and 11,439,268 is: 24,689,888.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300,018 : 11,439,268 = 11,439,268 : x
  2. Step 2: Convert to fraction form
    5,300,018/11,439,268 = 11,439,268/x
  3. Step 3: Cross multiply
    5,300,018x = 11,439,268 × 11,439,268
  4. Step 4: Simplify right side
    5,300,018x = 130,856,852,375,824
  5. Step 5: Solve for x
    x = 130,856,852,375,824/5,300,018
  6. Step 6: Final answer
    x = 24,689,888.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.