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Finding the Third Proportional to 2,133,544 and 5,036,428

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Solution

The third proportional to 2,133,544 and 5,036,428 is: 11,888,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133,544 : 5,036,428 = 5,036,428 : x
  2. Step 2: Convert to fraction form
    2,133,544/5,036,428 = 5,036,428/x
  3. Step 3: Cross multiply
    2,133,544x = 5,036,428 × 5,036,428
  4. Step 4: Simplify right side
    2,133,544x = 25,365,606,999,184
  5. Step 5: Solve for x
    x = 25,365,606,999,184/2,133,544
  6. Step 6: Final answer
    x = 11,888,954.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.