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Finding the Third Proportional to 5,252,986 and 11,502,468

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Solution

The third proportional to 5,252,986 and 11,502,468 is: 25,186,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252,986 : 11,502,468 = 11,502,468 : x
  2. Step 2: Convert to fraction form
    5,252,986/11,502,468 = 11,502,468/x
  3. Step 3: Cross multiply
    5,252,986x = 11,502,468 × 11,502,468
  4. Step 4: Simplify right side
    5,252,986x = 132,306,770,091,024
  5. Step 5: Solve for x
    x = 132,306,770,091,024/5,252,986
  6. Step 6: Final answer
    x = 25,186,964.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.