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Finding the Third Proportional to 14,178,049 and 31,101,002

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Solution

The third proportional to 14,178,049 and 31,101,002 is: 68,223,231.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178,049 : 31,101,002 = 31,101,002 : x
  2. Step 2: Convert to fraction form
    14,178,049/31,101,002 = 31,101,002/x
  3. Step 3: Cross multiply
    14,178,049x = 31,101,002 × 31,101,002
  4. Step 4: Simplify right side
    14,178,049x = 967,272,325,404,004
  5. Step 5: Solve for x
    x = 967,272,325,404,004/14,178,049
  6. Step 6: Final answer
    x = 68,223,231.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.