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Finding the Third Proportional to 13,720,848 and 20,170,224

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Solution

The third proportional to 13,720,848 and 20,170,224 is: 29,651,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,720,848 : 20,170,224 = 20,170,224 : x
  2. Step 2: Convert to fraction form
    13,720,848/20,170,224 = 20,170,224/x
  3. Step 3: Cross multiply
    13,720,848x = 20,170,224 × 20,170,224
  4. Step 4: Simplify right side
    13,720,848x = 406,837,936,210,176
  5. Step 5: Solve for x
    x = 406,837,936,210,176/13,720,848
  6. Step 6: Final answer
    x = 29,651,078.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.