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Finding the Third Proportional to 16,265,544.19 and 21,684,970.69

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Solution

The third proportional to 16,265,544.19 and 21,684,970.69 is: 28,910,065.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,265,544.19 : 21,684,970.69 = 21,684,970.69 : x
  2. Step 2: Convert to fraction form
    16,265,544.19/21,684,970.69 = 21,684,970.69/x
  3. Step 3: Cross multiply
    16,265,544.19x = 21,684,970.69 × 21,684,970.69
  4. Step 4: Simplify right side
    16,265,544.19x = 470,237,953,717,734.25
  5. Step 5: Solve for x
    x = 470,237,953,717,734.25/16,265,544.19
  6. Step 6: Final answer
    x = 28,910,065.86

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.