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Finding the Third Proportional to 6,077,520 and 12,968,523

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Solution

The third proportional to 6,077,520 and 12,968,523 is: 27,672,897.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077,520 : 12,968,523 = 12,968,523 : x
  2. Step 2: Convert to fraction form
    6,077,520/12,968,523 = 12,968,523/x
  3. Step 3: Cross multiply
    6,077,520x = 12,968,523 × 12,968,523
  4. Step 4: Simplify right side
    6,077,520x = 168,182,588,801,529
  5. Step 5: Solve for x
    x = 168,182,588,801,529/6,077,520
  6. Step 6: Final answer
    x = 27,672,897.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.