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Finding the Third Proportional to 23,456,649.23 and 48,854,786.34

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Solution

The third proportional to 23,456,649.23 and 48,854,786.34 is: 101,753,243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,456,649.23 : 48,854,786.34 = 48,854,786.34 : x
  2. Step 2: Convert to fraction form
    23,456,649.23/48,854,786.34 = 48,854,786.34/x
  3. Step 3: Cross multiply
    23,456,649.23x = 48,854,786.34 × 48,854,786.34
  4. Step 4: Simplify right side
    23,456,649.23x = 2,386,790,148,693,461.50
  5. Step 5: Solve for x
    x = 2,386,790,148,693,461.50/23,456,649.23
  6. Step 6: Final answer
    x = 101,753,243.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.