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Finding the Third Proportional to 14,164,246.50 and 31,305,853.50

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Solution

The third proportional to 14,164,246.50 and 31,305,853.50 is: 69,192,276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164,246.50 : 31,305,853.50 = 31,305,853.50 : x
  2. Step 2: Convert to fraction form
    14,164,246.50/31,305,853.50 = 31,305,853.50/x
  3. Step 3: Cross multiply
    14,164,246.50x = 31,305,853.50 × 31,305,853.50
  4. Step 4: Simplify right side
    14,164,246.50x = 980,056,463,363,462.25
  5. Step 5: Solve for x
    x = 980,056,463,363,462.25/14,164,246.50
  6. Step 6: Final answer
    x = 69,192,276.72

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.