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Finding the Third Proportional to 11,660,242.50 and 24,067,339.50

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Solution

The third proportional to 11,660,242.50 and 24,067,339.50 is: 49,676,225.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660,242.50 : 24,067,339.50 = 24,067,339.50 : x
  2. Step 2: Convert to fraction form
    11,660,242.50/24,067,339.50 = 24,067,339.50/x
  3. Step 3: Cross multiply
    11,660,242.50x = 24,067,339.50 × 24,067,339.50
  4. Step 4: Simplify right side
    11,660,242.50x = 579,236,830,608,260.25
  5. Step 5: Solve for x
    x = 579,236,830,608,260.25/11,660,242.50
  6. Step 6: Final answer
    x = 49,676,225.05

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.