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Finding the Third Proportional to 7,461,963 and 11,522,778.75

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Solution

The third proportional to 7,461,963 and 11,522,778.75 is: 17,793,498.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461,963 : 11,522,778.75 = 11,522,778.75 : x
  2. Step 2: Convert to fraction form
    7,461,963/11,522,778.75 = 11,522,778.75/x
  3. Step 3: Cross multiply
    7,461,963x = 11,522,778.75 × 11,522,778.75
  4. Step 4: Simplify right side
    7,461,963x = 132,774,430,121,451.56
  5. Step 5: Solve for x
    x = 132,774,430,121,451.56/7,461,963
  6. Step 6: Final answer
    x = 17,793,498.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.