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Finding the Third Proportional to 10,821,904.50 and 23,808,164.25

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Solution

The third proportional to 10,821,904.50 and 23,808,164.25 is: 52,377,904.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821,904.50 : 23,808,164.25 = 23,808,164.25 : x
  2. Step 2: Convert to fraction form
    10,821,904.50/23,808,164.25 = 23,808,164.25/x
  3. Step 3: Cross multiply
    10,821,904.50x = 23,808,164.25 × 23,808,164.25
  4. Step 4: Simplify right side
    10,821,904.50x = 566,828,684,954,978
  5. Step 5: Solve for x
    x = 566,828,684,954,978/10,821,904.50
  6. Step 6: Final answer
    x = 52,377,904.92

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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.