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Finding the Third Proportional to 6,147,266 and 13,490,276

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Solution

The third proportional to 6,147,266 and 13,490,276 is: 29,604,631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147,266 : 13,490,276 = 13,490,276 : x
  2. Step 2: Convert to fraction form
    6,147,266/13,490,276 = 13,490,276/x
  3. Step 3: Cross multiply
    6,147,266x = 13,490,276 × 13,490,276
  4. Step 4: Simplify right side
    6,147,266x = 181,987,546,556,176
  5. Step 5: Solve for x
    x = 181,987,546,556,176/6,147,266
  6. Step 6: Final answer
    x = 29,604,631.81

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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.