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Finding the Third Proportional to 5,725,873.13 and 11,850,305.06

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Solution

The third proportional to 5,725,873.13 and 11,850,305.06 is: 24,525,470.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,725,873.13 : 11,850,305.06 = 11,850,305.06 : x
  2. Step 2: Convert to fraction form
    5,725,873.13/11,850,305.06 = 11,850,305.06/x
  3. Step 3: Cross multiply
    5,725,873.13x = 11,850,305.06 × 11,850,305.06
  4. Step 4: Simplify right side
    5,725,873.13x = 140,429,730,074,313.12
  5. Step 5: Solve for x
    x = 140,429,730,074,313.12/5,725,873.13
  6. Step 6: Final answer
    x = 24,525,470.09

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.