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Finding the Third Proportional to 2,380,966.31 and 5,143,974.19

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Solution

The third proportional to 2,380,966.31 and 5,143,974.19 is: 11,113,332.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380,966.31 : 5,143,974.19 = 5,143,974.19 : x
  2. Step 2: Convert to fraction form
    2,380,966.31/5,143,974.19 = 5,143,974.19/x
  3. Step 3: Cross multiply
    2,380,966.31x = 5,143,974.19 × 5,143,974.19
  4. Step 4: Simplify right side
    2,380,966.31x = 26,460,470,441,666.29
  5. Step 5: Solve for x
    x = 26,460,470,441,666.29/2,380,966.31
  6. Step 6: Final answer
    x = 11,113,332.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.