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Finding the Third Proportional to 10,469,205 and 23,005,009.50

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Solution

The third proportional to 10,469,205 and 23,005,009.50 is: 50,551,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469,205 : 23,005,009.50 = 23,005,009.50 : x
  2. Step 2: Convert to fraction form
    10,469,205/23,005,009.50 = 23,005,009.50/x
  3. Step 3: Cross multiply
    10,469,205x = 23,005,009.50 × 23,005,009.50
  4. Step 4: Simplify right side
    10,469,205x = 529,230,462,095,090.25
  5. Step 5: Solve for x
    x = 529,230,462,095,090.25/10,469,205
  6. Step 6: Final answer
    x = 50,551,160.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.