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Finding the Third Proportional to 2,361,649.50 and 5,177,223

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Solution

The third proportional to 2,361,649.50 and 5,177,223 is: 11,349,541.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361,649.50 : 5,177,223 = 5,177,223 : x
  2. Step 2: Convert to fraction form
    2,361,649.50/5,177,223 = 5,177,223/x
  3. Step 3: Cross multiply
    2,361,649.50x = 5,177,223 × 5,177,223
  4. Step 4: Simplify right side
    2,361,649.50x = 26,803,637,991,729
  5. Step 5: Solve for x
    x = 26,803,637,991,729/2,361,649.50
  6. Step 6: Final answer
    x = 11,349,541.07

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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.