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Finding the Third Proportional to 14,214,057 and 21,834,531

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Solution

The third proportional to 14,214,057 and 21,834,531 is: 33,540,511.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214,057 : 21,834,531 = 21,834,531 : x
  2. Step 2: Convert to fraction form
    14,214,057/21,834,531 = 21,834,531/x
  3. Step 3: Cross multiply
    14,214,057x = 21,834,531 × 21,834,531
  4. Step 4: Simplify right side
    14,214,057x = 476,746,743,989,961
  5. Step 5: Solve for x
    x = 476,746,743,989,961/14,214,057
  6. Step 6: Final answer
    x = 33,540,511.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.