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Finding the Third Proportional to 2,133,145.13 and 4,665,367.13

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Solution

The third proportional to 2,133,145.13 and 4,665,367.13 is: 10,203,548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133,145.13 : 4,665,367.13 = 4,665,367.13 : x
  2. Step 2: Convert to fraction form
    2,133,145.13/4,665,367.13 = 4,665,367.13/x
  3. Step 3: Cross multiply
    2,133,145.13x = 4,665,367.13 × 4,665,367.13
  4. Step 4: Simplify right side
    2,133,145.13x = 21,765,650,411,030.77
  5. Step 5: Solve for x
    x = 21,765,650,411,030.77/2,133,145.13
  6. Step 6: Final answer
    x = 10,203,548.81

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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.