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Finding the Third Proportional to 2,384,265 and 5,109,432

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Solution

The third proportional to 2,384,265 and 5,109,432 is: 10,949,410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384,265 : 5,109,432 = 5,109,432 : x
  2. Step 2: Convert to fraction form
    2,384,265/5,109,432 = 5,109,432/x
  3. Step 3: Cross multiply
    2,384,265x = 5,109,432 × 5,109,432
  4. Step 4: Simplify right side
    2,384,265x = 26,106,295,362,624
  5. Step 5: Solve for x
    x = 26,106,295,362,624/2,384,265
  6. Step 6: Final answer
    x = 10,949,410.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.