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Finding the Third Proportional to 11,698,172.50 and 23,750,641

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Solution

The third proportional to 11,698,172.50 and 23,750,641 is: 48,220,604.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,698,172.50 : 23,750,641 = 23,750,641 : x
  2. Step 2: Convert to fraction form
    11,698,172.50/23,750,641 = 23,750,641/x
  3. Step 3: Cross multiply
    11,698,172.50x = 23,750,641 × 23,750,641
  4. Step 4: Simplify right side
    11,698,172.50x = 564,092,947,910,881
  5. Step 5: Solve for x
    x = 564,092,947,910,881/11,698,172.50
  6. Step 6: Final answer
    x = 48,220,604.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.