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Finding the Third Proportional to 14,272,284 and 21,743,019

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Solution

The third proportional to 14,272,284 and 21,743,019 is: 33,124,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,272,284 : 21,743,019 = 21,743,019 : x
  2. Step 2: Convert to fraction form
    14,272,284/21,743,019 = 21,743,019/x
  3. Step 3: Cross multiply
    14,272,284x = 21,743,019 × 21,743,019
  4. Step 4: Simplify right side
    14,272,284x = 472,758,875,234,361
  5. Step 5: Solve for x
    x = 472,758,875,234,361/14,272,284
  6. Step 6: Final answer
    x = 33,124,262.05

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.