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Finding the Third Proportional to 9,287,621.25 and 19,699,021.13

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Solution

The third proportional to 9,287,621.25 and 19,699,021.13 is: 41,781,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287,621.25 : 19,699,021.13 = 19,699,021.13 : x
  2. Step 2: Convert to fraction form
    9,287,621.25/19,699,021.13 = 19,699,021.13/x
  3. Step 3: Cross multiply
    9,287,621.25x = 19,699,021.13 × 19,699,021.13
  4. Step 4: Simplify right side
    9,287,621.25x = 388,051,433,283,196.25
  5. Step 5: Solve for x
    x = 388,051,433,283,196.25/9,287,621.25
  6. Step 6: Final answer
    x = 41,781,573.86

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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.