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Finding the Third Proportional to 14,178,116 and 31,100,920

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Solution

The third proportional to 14,178,116 and 31,100,920 is: 68,222,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178,116 : 31,100,920 = 31,100,920 : x
  2. Step 2: Convert to fraction form
    14,178,116/31,100,920 = 31,100,920/x
  3. Step 3: Cross multiply
    14,178,116x = 31,100,920 × 31,100,920
  4. Step 4: Simplify right side
    14,178,116x = 967,267,224,846,400
  5. Step 5: Solve for x
    x = 967,267,224,846,400/14,178,116
  6. Step 6: Final answer
    x = 68,222,549.80

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Why These Related Problems?

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