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Finding the Third Proportional to 5,305,986 and 11,369,048

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Solution

The third proportional to 5,305,986 and 11,369,048 is: 24,360,270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305,986 : 11,369,048 = 11,369,048 : x
  2. Step 2: Convert to fraction form
    5,305,986/11,369,048 = 11,369,048/x
  3. Step 3: Cross multiply
    5,305,986x = 11,369,048 × 11,369,048
  4. Step 4: Simplify right side
    5,305,986x = 129,255,252,426,304
  5. Step 5: Solve for x
    x = 129,255,252,426,304/5,305,986
  6. Step 6: Final answer
    x = 24,360,270.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.