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Finding the Third Proportional to 4,728,739.50 and 10,402,263

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Solution

The third proportional to 4,728,739.50 and 10,402,263 is: 22,882,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728,739.50 : 10,402,263 = 10,402,263 : x
  2. Step 2: Convert to fraction form
    4,728,739.50/10,402,263 = 10,402,263/x
  3. Step 3: Cross multiply
    4,728,739.50x = 10,402,263 × 10,402,263
  4. Step 4: Simplify right side
    4,728,739.50x = 108,207,075,521,169
  5. Step 5: Solve for x
    x = 108,207,075,521,169/4,728,739.50
  6. Step 6: Final answer
    x = 22,882,858.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.