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Finding the Third Proportional to 5,196,656 and 11,337,664

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Solution

The third proportional to 5,196,656 and 11,337,664 is: 24,735,642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196,656 : 11,337,664 = 11,337,664 : x
  2. Step 2: Convert to fraction form
    5,196,656/11,337,664 = 11,337,664/x
  3. Step 3: Cross multiply
    5,196,656x = 11,337,664 × 11,337,664
  4. Step 4: Simplify right side
    5,196,656x = 128,542,624,976,896
  5. Step 5: Solve for x
    x = 128,542,624,976,896/5,196,656
  6. Step 6: Final answer
    x = 24,735,642.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.