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Finding the Third Proportional to 9,418,824 and 20,343,384

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Solution

The third proportional to 9,418,824 and 20,343,384 is: 43,938,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,418,824 : 20,343,384 = 20,343,384 : x
  2. Step 2: Convert to fraction form
    9,418,824/20,343,384 = 20,343,384/x
  3. Step 3: Cross multiply
    9,418,824x = 20,343,384 × 20,343,384
  4. Step 4: Simplify right side
    9,418,824x = 413,853,272,571,456
  5. Step 5: Solve for x
    x = 413,853,272,571,456/9,418,824
  6. Step 6: Final answer
    x = 43,938,953.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.