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Finding the Third Proportional to 4,648,190.06 and 10,068,229.13

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Solution

The third proportional to 4,648,190.06 and 10,068,229.13 is: 21,808,324.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,648,190.06 : 10,068,229.13 = 10,068,229.13 : x
  2. Step 2: Convert to fraction form
    4,648,190.06/10,068,229.13 = 10,068,229.13/x
  3. Step 3: Cross multiply
    4,648,190.06x = 10,068,229.13 × 10,068,229.13
  4. Step 4: Simplify right side
    4,648,190.06x = 101,369,237,713,498.27
  5. Step 5: Solve for x
    x = 101,369,237,713,498.27/4,648,190.06
  6. Step 6: Final answer
    x = 21,808,324.61

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.