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Finding the Third Proportional to 15,769,566 and 23,055,657.75

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Solution

The third proportional to 15,769,566 and 23,055,657.75 is: 33,708,179.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769,566 : 23,055,657.75 = 23,055,657.75 : x
  2. Step 2: Convert to fraction form
    15,769,566/23,055,657.75 = 23,055,657.75/x
  3. Step 3: Cross multiply
    15,769,566x = 23,055,657.75 × 23,055,657.75
  4. Step 4: Simplify right side
    15,769,566x = 531,563,354,285,135.06
  5. Step 5: Solve for x
    x = 531,563,354,285,135.06/15,769,566
  6. Step 6: Final answer
    x = 33,708,179.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.