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Finding the Third Proportional to 13,685,211 and 19,132,731

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Solution

The third proportional to 13,685,211 and 19,132,731 is: 26,748,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685,211 : 19,132,731 = 19,132,731 : x
  2. Step 2: Convert to fraction form
    13,685,211/19,132,731 = 19,132,731/x
  3. Step 3: Cross multiply
    13,685,211x = 19,132,731 × 19,132,731
  4. Step 4: Simplify right side
    13,685,211x = 366,061,395,518,361
  5. Step 5: Solve for x
    x = 366,061,395,518,361/13,685,211
  6. Step 6: Final answer
    x = 26,748,684.80

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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.