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Finding the Third Proportional to 5,259,488 and 11,317,944

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Solution

The third proportional to 5,259,488 and 11,317,944 is: 24,355,195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259,488 : 11,317,944 = 11,317,944 : x
  2. Step 2: Convert to fraction form
    5,259,488/11,317,944 = 11,317,944/x
  3. Step 3: Cross multiply
    5,259,488x = 11,317,944 × 11,317,944
  4. Step 4: Simplify right side
    5,259,488x = 128,095,856,387,136
  5. Step 5: Solve for x
    x = 128,095,856,387,136/5,259,488
  6. Step 6: Final answer
    x = 24,355,195.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.