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Finding the Third Proportional to 9,945,605.25 and 21,740,095.50

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Solution

The third proportional to 9,945,605.25 and 21,740,095.50 is: 47,521,668.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945,605.25 : 21,740,095.50 = 21,740,095.50 : x
  2. Step 2: Convert to fraction form
    9,945,605.25/21,740,095.50 = 21,740,095.50/x
  3. Step 3: Cross multiply
    9,945,605.25x = 21,740,095.50 × 21,740,095.50
  4. Step 4: Simplify right side
    9,945,605.25x = 472,631,752,349,120.25
  5. Step 5: Solve for x
    x = 472,631,752,349,120.25/9,945,605.25
  6. Step 6: Final answer
    x = 47,521,668.16

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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.