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Finding the Third Proportional to 13,646,961 and 30,023,283

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Solution

The third proportional to 13,646,961 and 30,023,283 is: 66,051,153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646,961 : 30,023,283 = 30,023,283 : x
  2. Step 2: Convert to fraction form
    13,646,961/30,023,283 = 30,023,283/x
  3. Step 3: Cross multiply
    13,646,961x = 30,023,283 × 30,023,283
  4. Step 4: Simplify right side
    13,646,961x = 901,397,522,098,089
  5. Step 5: Solve for x
    x = 901,397,522,098,089/13,646,961
  6. Step 6: Final answer
    x = 66,051,153.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.