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Finding the Third Proportional to 30,335,296 and 42,923,514

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Solution

The third proportional to 30,335,296 and 42,923,514 is: 60,735,456.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,335,296 : 42,923,514 = 42,923,514 : x
  2. Step 2: Convert to fraction form
    30,335,296/42,923,514 = 42,923,514/x
  3. Step 3: Cross multiply
    30,335,296x = 42,923,514 × 42,923,514
  4. Step 4: Simplify right side
    30,335,296x = 1,842,428,054,108,196
  5. Step 5: Solve for x
    x = 1,842,428,054,108,196/30,335,296
  6. Step 6: Final answer
    x = 60,735,456.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.