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Finding the Third Proportional to 15,823,214 and 32,485,264

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Solution

The third proportional to 15,823,214 and 32,485,264 is: 66,692,669.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823,214 : 32,485,264 = 32,485,264 : x
  2. Step 2: Convert to fraction form
    15,823,214/32,485,264 = 32,485,264/x
  3. Step 3: Cross multiply
    15,823,214x = 32,485,264 × 32,485,264
  4. Step 4: Simplify right side
    15,823,214x = 1,055,292,377,149,696
  5. Step 5: Solve for x
    x = 1,055,292,377,149,696/15,823,214
  6. Step 6: Final answer
    x = 66,692,669.21

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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.