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Finding the Third Proportional to 5,635,341 and 11,999,409

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Solution

The third proportional to 5,635,341 and 11,999,409 is: 25,550,506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635,341 : 11,999,409 = 11,999,409 : x
  2. Step 2: Convert to fraction form
    5,635,341/11,999,409 = 11,999,409/x
  3. Step 3: Cross multiply
    5,635,341x = 11,999,409 × 11,999,409
  4. Step 4: Simplify right side
    5,635,341x = 143,985,816,349,281
  5. Step 5: Solve for x
    x = 143,985,816,349,281/5,635,341
  6. Step 6: Final answer
    x = 25,550,506.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.