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Finding the Third Proportional to 30,826,649.67 and 67,080,017.11

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Solution

The third proportional to 30,826,649.67 and 67,080,017.11 is: 145,968,788.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,826,649.67 : 67,080,017.11 = 67,080,017.11 : x
  2. Step 2: Convert to fraction form
    30,826,649.67/67,080,017.11 = 67,080,017.11/x
  3. Step 3: Cross multiply
    30,826,649.67x = 67,080,017.11 × 67,080,017.11
  4. Step 4: Simplify right side
    30,826,649.67x = 4,499,728,695,394,042.50
  5. Step 5: Solve for x
    x = 4,499,728,695,394,042.50/30,826,649.67
  6. Step 6: Final answer
    x = 145,968,788.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.