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Finding the Third Proportional to 30,842,932.50 and 67,739,649.75

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Solution

The third proportional to 30,842,932.50 and 67,739,649.75 is: 148,775,092.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842,932.50 : 67,739,649.75 = 67,739,649.75 : x
  2. Step 2: Convert to fraction form
    30,842,932.50/67,739,649.75 = 67,739,649.75/x
  3. Step 3: Cross multiply
    30,842,932.50x = 67,739,649.75 × 67,739,649.75
  4. Step 4: Simplify right side
    30,842,932.50x = 4,588,660,148,252,675
  5. Step 5: Solve for x
    x = 4,588,660,148,252,675/30,842,932.50
  6. Step 6: Final answer
    x = 148,775,092.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.