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Finding the Third Proportional to 10,633,572 and 23,325,657.75

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Solution

The third proportional to 10,633,572 and 23,325,657.75 is: 51,166,843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633,572 : 23,325,657.75 = 23,325,657.75 : x
  2. Step 2: Convert to fraction form
    10,633,572/23,325,657.75 = 23,325,657.75/x
  3. Step 3: Cross multiply
    10,633,572x = 23,325,657.75 × 23,325,657.75
  4. Step 4: Simplify right side
    10,633,572x = 544,086,309,470,135.06
  5. Step 5: Solve for x
    x = 544,086,309,470,135.06/10,633,572
  6. Step 6: Final answer
    x = 51,166,843.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.