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Finding the Third Proportional to 10,409,915 and 22,557,268

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Solution

The third proportional to 10,409,915 and 22,557,268 is: 48,879,394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409,915 : 22,557,268 = 22,557,268 : x
  2. Step 2: Convert to fraction form
    10,409,915/22,557,268 = 22,557,268/x
  3. Step 3: Cross multiply
    10,409,915x = 22,557,268 × 22,557,268
  4. Step 4: Simplify right side
    10,409,915x = 508,830,339,623,824
  5. Step 5: Solve for x
    x = 508,830,339,623,824/10,409,915
  6. Step 6: Final answer
    x = 48,879,394.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.