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Finding the Third Proportional to 2,388,133.50 and 5,045,816.63

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Solution

The third proportional to 2,388,133.50 and 5,045,816.63 is: 10,661,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388,133.50 : 5,045,816.63 = 5,045,816.63 : x
  2. Step 2: Convert to fraction form
    2,388,133.50/5,045,816.63 = 5,045,816.63/x
  3. Step 3: Cross multiply
    2,388,133.50x = 5,045,816.63 × 5,045,816.63
  4. Step 4: Simplify right side
    2,388,133.50x = 25,460,265,413,126.39
  5. Step 5: Solve for x
    x = 25,460,265,413,126.39/2,388,133.50
  6. Step 6: Final answer
    x = 10,661,156.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.