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Finding the Third Proportional to 5,386,838 and 11,628,306

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Solution

The third proportional to 5,386,838 and 11,628,306 is: 25,101,460.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386,838 : 11,628,306 = 11,628,306 : x
  2. Step 2: Convert to fraction form
    5,386,838/11,628,306 = 11,628,306/x
  3. Step 3: Cross multiply
    5,386,838x = 11,628,306 × 11,628,306
  4. Step 4: Simplify right side
    5,386,838x = 135,217,500,429,636
  5. Step 5: Solve for x
    x = 135,217,500,429,636/5,386,838
  6. Step 6: Final answer
    x = 25,101,460.34

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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.