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Finding the Third Proportional to 11,755,051.50 and 17,287,048.50

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Solution

The third proportional to 11,755,051.50 and 17,287,048.50 is: 25,422,436.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755,051.50 : 17,287,048.50 = 17,287,048.50 : x
  2. Step 2: Convert to fraction form
    11,755,051.50/17,287,048.50 = 17,287,048.50/x
  3. Step 3: Cross multiply
    11,755,051.50x = 17,287,048.50 × 17,287,048.50
  4. Step 4: Simplify right side
    11,755,051.50x = 298,842,045,841,352.25
  5. Step 5: Solve for x
    x = 298,842,045,841,352.25/11,755,051.50
  6. Step 6: Final answer
    x = 25,422,436.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.