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Finding the Third Proportional to 13,505,899.50 and 29,573,383.50

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Solution

The third proportional to 13,505,899.50 and 29,573,383.50 is: 64,755,776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505,899.50 : 29,573,383.50 = 29,573,383.50 : x
  2. Step 2: Convert to fraction form
    13,505,899.50/29,573,383.50 = 29,573,383.50/x
  3. Step 3: Cross multiply
    13,505,899.50x = 29,573,383.50 × 29,573,383.50
  4. Step 4: Simplify right side
    13,505,899.50x = 874,585,011,638,072.25
  5. Step 5: Solve for x
    x = 874,585,011,638,072.25/13,505,899.50
  6. Step 6: Final answer
    x = 64,755,776.66

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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.