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Finding the Third Proportional to 2,931,190.03 and 6,458,712.19

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Solution

The third proportional to 2,931,190.03 and 6,458,712.19 is: 14,231,408.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931,190.03 : 6,458,712.19 = 6,458,712.19 : x
  2. Step 2: Convert to fraction form
    2,931,190.03/6,458,712.19 = 6,458,712.19/x
  3. Step 3: Cross multiply
    2,931,190.03x = 6,458,712.19 × 6,458,712.19
  4. Step 4: Simplify right side
    2,931,190.03x = 41,714,963,120,961.03
  5. Step 5: Solve for x
    x = 41,714,963,120,961.03/2,931,190.03
  6. Step 6: Final answer
    x = 14,231,408.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.