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Finding the Third Proportional to 15,823,224 and 32,485,284

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Solution

The third proportional to 15,823,224 and 32,485,284 is: 66,692,709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823,224 : 32,485,284 = 32,485,284 : x
  2. Step 2: Convert to fraction form
    15,823,224/32,485,284 = 32,485,284/x
  3. Step 3: Cross multiply
    15,823,224x = 32,485,284 × 32,485,284
  4. Step 4: Simplify right side
    15,823,224x = 1,055,293,676,560,656
  5. Step 5: Solve for x
    x = 1,055,293,676,560,656/15,823,224
  6. Step 6: Final answer
    x = 66,692,709.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.