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Finding the Third Proportional to 14,178,048 and 31,101,000

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Solution

The third proportional to 14,178,048 and 31,101,000 is: 68,223,227.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178,048 : 31,101,000 = 31,101,000 : x
  2. Step 2: Convert to fraction form
    14,178,048/31,101,000 = 31,101,000/x
  3. Step 3: Cross multiply
    14,178,048x = 31,101,000 × 31,101,000
  4. Step 4: Simplify right side
    14,178,048x = 967,272,201,000,000
  5. Step 5: Solve for x
    x = 967,272,201,000,000/14,178,048
  6. Step 6: Final answer
    x = 68,223,227.98

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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.