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Finding the Third Proportional to 5,386,498 and 11,968,723

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Solution

The third proportional to 5,386,498 and 11,968,723 is: 26,594,334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386,498 : 11,968,723 = 11,968,723 : x
  2. Step 2: Convert to fraction form
    5,386,498/11,968,723 = 11,968,723/x
  3. Step 3: Cross multiply
    5,386,498x = 11,968,723 × 11,968,723
  4. Step 4: Simplify right side
    5,386,498x = 143,250,330,250,729
  5. Step 5: Solve for x
    x = 143,250,330,250,729/5,386,498
  6. Step 6: Final answer
    x = 26,594,334.62

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.