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Finding the Third Proportional to 11,842,864 and 25,827,532

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Solution

The third proportional to 11,842,864 and 25,827,532 is: 56,326,021.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842,864 : 25,827,532 = 25,827,532 : x
  2. Step 2: Convert to fraction form
    11,842,864/25,827,532 = 25,827,532/x
  3. Step 3: Cross multiply
    11,842,864x = 25,827,532 × 25,827,532
  4. Step 4: Simplify right side
    11,842,864x = 667,061,409,211,024
  5. Step 5: Solve for x
    x = 667,061,409,211,024/11,842,864
  6. Step 6: Final answer
    x = 56,326,021.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.