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Finding the Third Proportional to 6,146,181 and 13,277,124

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Solution

The third proportional to 6,146,181 and 13,277,124 is: 28,681,553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146,181 : 13,277,124 = 13,277,124 : x
  2. Step 2: Convert to fraction form
    6,146,181/13,277,124 = 13,277,124/x
  3. Step 3: Cross multiply
    6,146,181x = 13,277,124 × 13,277,124
  4. Step 4: Simplify right side
    6,146,181x = 176,282,021,711,376
  5. Step 5: Solve for x
    x = 176,282,021,711,376/6,146,181
  6. Step 6: Final answer
    x = 28,681,553.91

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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.