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Finding the Third Proportional to 14,491,244.25 and 30,710,218.50

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Solution

The third proportional to 14,491,244.25 and 30,710,218.50 is: 65,081,886.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491,244.25 : 30,710,218.50 = 30,710,218.50 : x
  2. Step 2: Convert to fraction form
    14,491,244.25/30,710,218.50 = 30,710,218.50/x
  3. Step 3: Cross multiply
    14,491,244.25x = 30,710,218.50 × 30,710,218.50
  4. Step 4: Simplify right side
    14,491,244.25x = 943,117,520,317,742.25
  5. Step 5: Solve for x
    x = 943,117,520,317,742.25/14,491,244.25
  6. Step 6: Final answer
    x = 65,081,886.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.