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Finding the Third Proportional to 11,970,456 and 24,896,280

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Solution

The third proportional to 11,970,456 and 24,896,280 is: 51,779,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970,456 : 24,896,280 = 24,896,280 : x
  2. Step 2: Convert to fraction form
    11,970,456/24,896,280 = 24,896,280/x
  3. Step 3: Cross multiply
    11,970,456x = 24,896,280 × 24,896,280
  4. Step 4: Simplify right side
    11,970,456x = 619,824,757,838,400
  5. Step 5: Solve for x
    x = 619,824,757,838,400/11,970,456
  6. Step 6: Final answer
    x = 51,779,544.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.