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Finding the Third Proportional to 6,411,424 and 13,538,240

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Solution

The third proportional to 6,411,424 and 13,538,240 is: 28,587,088.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411,424 : 13,538,240 = 13,538,240 : x
  2. Step 2: Convert to fraction form
    6,411,424/13,538,240 = 13,538,240/x
  3. Step 3: Cross multiply
    6,411,424x = 13,538,240 × 13,538,240
  4. Step 4: Simplify right side
    6,411,424x = 183,283,942,297,600
  5. Step 5: Solve for x
    x = 183,283,942,297,600/6,411,424
  6. Step 6: Final answer
    x = 28,587,088.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.