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Finding the Third Proportional to 2,369,494.50 and 5,116,550.25

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Solution

The third proportional to 2,369,494.50 and 5,116,550.25 is: 11,048,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369,494.50 : 5,116,550.25 = 5,116,550.25 : x
  2. Step 2: Convert to fraction form
    2,369,494.50/5,116,550.25 = 5,116,550.25/x
  3. Step 3: Cross multiply
    2,369,494.50x = 5,116,550.25 × 5,116,550.25
  4. Step 4: Simplify right side
    2,369,494.50x = 26,179,086,460,775.06
  5. Step 5: Solve for x
    x = 26,179,086,460,775.06/2,369,494.50
  6. Step 6: Final answer
    x = 11,048,384.57

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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.