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Finding the Third Proportional to 5,240,498 and 11,458,558

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Solution

The third proportional to 5,240,498 and 11,458,558 is: 25,054,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240,498 : 11,458,558 = 11,458,558 : x
  2. Step 2: Convert to fraction form
    5,240,498/11,458,558 = 11,458,558/x
  3. Step 3: Cross multiply
    5,240,498x = 11,458,558 × 11,458,558
  4. Step 4: Simplify right side
    5,240,498x = 131,298,551,439,364
  5. Step 5: Solve for x
    x = 131,298,551,439,364/5,240,498
  6. Step 6: Final answer
    x = 25,054,594.32

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Why These Related Problems?

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