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Finding the Third Proportional to 14,642,446 and 21,424,669

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Solution

The third proportional to 14,642,446 and 21,424,669 is: 31,348,344.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642,446 : 21,424,669 = 21,424,669 : x
  2. Step 2: Convert to fraction form
    14,642,446/21,424,669 = 21,424,669/x
  3. Step 3: Cross multiply
    14,642,446x = 21,424,669 × 21,424,669
  4. Step 4: Simplify right side
    14,642,446x = 459,016,441,759,561
  5. Step 5: Solve for x
    x = 459,016,441,759,561/14,642,446
  6. Step 6: Final answer
    x = 31,348,344.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.