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Finding the Third Proportional to 2,483,664 and 5,432,256

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Solution

The third proportional to 2,483,664 and 5,432,256 is: 11,881,399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483,664 : 5,432,256 = 5,432,256 : x
  2. Step 2: Convert to fraction form
    2,483,664/5,432,256 = 5,432,256/x
  3. Step 3: Cross multiply
    2,483,664x = 5,432,256 × 5,432,256
  4. Step 4: Simplify right side
    2,483,664x = 29,509,405,249,536
  5. Step 5: Solve for x
    x = 29,509,405,249,536/2,483,664
  6. Step 6: Final answer
    x = 11,881,399.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.