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Finding the Third Proportional to 13,284,384.75 and 21,692,203.73

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Solution

The third proportional to 13,284,384.75 and 21,692,203.73 is: 35,421,414.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284,384.75 : 21,692,203.73 = 21,692,203.73 : x
  2. Step 2: Convert to fraction form
    13,284,384.75/21,692,203.73 = 21,692,203.73/x
  3. Step 3: Cross multiply
    13,284,384.75x = 21,692,203.73 × 21,692,203.73
  4. Step 4: Simplify right side
    13,284,384.75x = 470,551,702,853,632.69
  5. Step 5: Solve for x
    x = 470,551,702,853,632.69/13,284,384.75
  6. Step 6: Final answer
    x = 35,421,414.82

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.