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Finding the Third Proportional to 11,021,184 and 23,731,200

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Solution

The third proportional to 11,021,184 and 23,731,200 is: 51,098,852.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,021,184 : 23,731,200 = 23,731,200 : x
  2. Step 2: Convert to fraction form
    11,021,184/23,731,200 = 23,731,200/x
  3. Step 3: Cross multiply
    11,021,184x = 23,731,200 × 23,731,200
  4. Step 4: Simplify right side
    11,021,184x = 563,169,853,440,000
  5. Step 5: Solve for x
    x = 563,169,853,440,000/11,021,184
  6. Step 6: Final answer
    x = 51,098,852.30

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.