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Finding the Third Proportional to 13,006,089 and 18,299,250

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Solution

The third proportional to 13,006,089 and 18,299,250 is: 25,746,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006,089 : 18,299,250 = 18,299,250 : x
  2. Step 2: Convert to fraction form
    13,006,089/18,299,250 = 18,299,250/x
  3. Step 3: Cross multiply
    13,006,089x = 18,299,250 × 18,299,250
  4. Step 4: Simplify right side
    13,006,089x = 334,862,550,562,500
  5. Step 5: Solve for x
    x = 334,862,550,562,500/13,006,089
  6. Step 6: Final answer
    x = 25,746,598.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.