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Finding the Third Proportional to 6,704,887.50 and 14,481,472.50

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Solution

The third proportional to 6,704,887.50 and 14,481,472.50 is: 31,277,638.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704,887.50 : 14,481,472.50 = 14,481,472.50 : x
  2. Step 2: Convert to fraction form
    6,704,887.50/14,481,472.50 = 14,481,472.50/x
  3. Step 3: Cross multiply
    6,704,887.50x = 14,481,472.50 × 14,481,472.50
  4. Step 4: Simplify right side
    6,704,887.50x = 209,713,045,768,256.25
  5. Step 5: Solve for x
    x = 209,713,045,768,256.25/6,704,887.50
  6. Step 6: Final answer
    x = 31,277,638.26

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.