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Finding the Third Proportional to 2,537,407 and 5,470,919.50

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Solution

The third proportional to 2,537,407 and 5,470,919.50 is: 11,795,884.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537,407 : 5,470,919.50 = 5,470,919.50 : x
  2. Step 2: Convert to fraction form
    2,537,407/5,470,919.50 = 5,470,919.50/x
  3. Step 3: Cross multiply
    2,537,407x = 5,470,919.50 × 5,470,919.50
  4. Step 4: Simplify right side
    2,537,407x = 29,930,960,175,480.25
  5. Step 5: Solve for x
    x = 29,930,960,175,480.25/2,537,407
  6. Step 6: Final answer
    x = 11,795,884.61

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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.