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Finding the Third Proportional to 15,769,581 and 23,055,676.50

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Solution

The third proportional to 15,769,581 and 23,055,676.50 is: 33,708,201.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,769,581 : 23,055,676.50 = 23,055,676.50 : x
  2. Step 2: Convert to fraction form
    15,769,581/23,055,676.50 = 23,055,676.50/x
  3. Step 3: Cross multiply
    15,769,581x = 23,055,676.50 × 23,055,676.50
  4. Step 4: Simplify right side
    15,769,581x = 531,564,218,872,652.25
  5. Step 5: Solve for x
    x = 531,564,218,872,652.25/15,769,581
  6. Step 6: Final answer
    x = 33,708,201.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.