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Finding the Third Proportional to 6,168,114 and 13,365,893

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Solution

The third proportional to 6,168,114 and 13,365,893 is: 28,963,001.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168,114 : 13,365,893 = 13,365,893 : x
  2. Step 2: Convert to fraction form
    6,168,114/13,365,893 = 13,365,893/x
  3. Step 3: Cross multiply
    6,168,114x = 13,365,893 × 13,365,893
  4. Step 4: Simplify right side
    6,168,114x = 178,647,095,687,449
  5. Step 5: Solve for x
    x = 178,647,095,687,449/6,168,114
  6. Step 6: Final answer
    x = 28,963,001.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.