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Finding the Third Proportional to 15,823,216 and 32,485,268

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Solution

The third proportional to 15,823,216 and 32,485,268 is: 66,692,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823,216 : 32,485,268 = 32,485,268 : x
  2. Step 2: Convert to fraction form
    15,823,216/32,485,268 = 32,485,268/x
  3. Step 3: Cross multiply
    15,823,216x = 32,485,268 × 32,485,268
  4. Step 4: Simplify right side
    15,823,216x = 1,055,292,637,031,824
  5. Step 5: Solve for x
    x = 1,055,292,637,031,824/15,823,216
  6. Step 6: Final answer
    x = 66,692,677.20

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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.