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Finding the Third Proportional to 36,283,887.50 and 78,339,835

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Solution

The third proportional to 36,283,887.50 and 78,339,835 is: 169,142,012.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,283,887.50 : 78,339,835 = 78,339,835 : x
  2. Step 2: Convert to fraction form
    36,283,887.50/78,339,835 = 78,339,835/x
  3. Step 3: Cross multiply
    36,283,887.50x = 78,339,835 × 78,339,835
  4. Step 4: Simplify right side
    36,283,887.50x = 6,137,129,747,827,225
  5. Step 5: Solve for x
    x = 6,137,129,747,827,225/36,283,887.50
  6. Step 6: Final answer
    x = 169,142,012.36

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Why These Related Problems?

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