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Finding the Third Proportional to 39,524,838 and 85,646,514

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Solution

The third proportional to 39,524,838 and 85,646,514 is: 185,587,740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,524,838 : 85,646,514 = 85,646,514 : x
  2. Step 2: Convert to fraction form
    39,524,838/85,646,514 = 85,646,514/x
  3. Step 3: Cross multiply
    39,524,838x = 85,646,514 × 85,646,514
  4. Step 4: Simplify right side
    39,524,838x = 7,335,325,360,352,196
  5. Step 5: Solve for x
    x = 7,335,325,360,352,196/39,524,838
  6. Step 6: Final answer
    x = 185,587,740.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.