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Finding the Third Proportional to 11,527,122 and 18,082,011

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Solution

The third proportional to 11,527,122 and 18,082,011 is: 28,364,332.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,527,122 : 18,082,011 = 18,082,011 : x
  2. Step 2: Convert to fraction form
    11,527,122/18,082,011 = 18,082,011/x
  3. Step 3: Cross multiply
    11,527,122x = 18,082,011 × 18,082,011
  4. Step 4: Simplify right side
    11,527,122x = 326,959,121,804,121
  5. Step 5: Solve for x
    x = 326,959,121,804,121/11,527,122
  6. Step 6: Final answer
    x = 28,364,332.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.