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Finding the Third Proportional to 13,685,217 and 19,132,740

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Solution

The third proportional to 13,685,217 and 19,132,740 is: 26,748,698.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685,217 : 19,132,740 = 19,132,740 : x
  2. Step 2: Convert to fraction form
    13,685,217/19,132,740 = 19,132,740/x
  3. Step 3: Cross multiply
    13,685,217x = 19,132,740 × 19,132,740
  4. Step 4: Simplify right side
    13,685,217x = 366,061,739,907,600
  5. Step 5: Solve for x
    x = 366,061,739,907,600/13,685,217
  6. Step 6: Final answer
    x = 26,748,698.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.