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Finding the Third Proportional to 13,686,100 and 21,189,254

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Solution

The third proportional to 13,686,100 and 21,189,254 is: 32,805,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686,100 : 21,189,254 = 21,189,254 : x
  2. Step 2: Convert to fraction form
    13,686,100/21,189,254 = 21,189,254/x
  3. Step 3: Cross multiply
    13,686,100x = 21,189,254 × 21,189,254
  4. Step 4: Simplify right side
    13,686,100x = 448,984,485,076,516
  5. Step 5: Solve for x
    x = 448,984,485,076,516/13,686,100
  6. Step 6: Final answer
    x = 32,805,874.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.