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Finding the Third Proportional to 6,853,824 and 15,239,520

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Solution

The third proportional to 6,853,824 and 15,239,520 is: 33,885,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853,824 : 15,239,520 = 15,239,520 : x
  2. Step 2: Convert to fraction form
    6,853,824/15,239,520 = 15,239,520/x
  3. Step 3: Cross multiply
    6,853,824x = 15,239,520 × 15,239,520
  4. Step 4: Simplify right side
    6,853,824x = 232,242,969,830,400
  5. Step 5: Solve for x
    x = 232,242,969,830,400/6,853,824
  6. Step 6: Final answer
    x = 33,885,166.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.