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Finding the Third Proportional to 5,386,833 and 11,628,297

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Solution

The third proportional to 5,386,833 and 11,628,297 is: 25,101,444.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386,833 : 11,628,297 = 11,628,297 : x
  2. Step 2: Convert to fraction form
    5,386,833/11,628,297 = 11,628,297/x
  3. Step 3: Cross multiply
    5,386,833x = 11,628,297 × 11,628,297
  4. Step 4: Simplify right side
    5,386,833x = 135,217,291,120,209
  5. Step 5: Solve for x
    x = 135,217,291,120,209/5,386,833
  6. Step 6: Final answer
    x = 25,101,444.79

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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.