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Finding the Third Proportional to 2,416,088.25 and 5,259,461.63

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Solution

The third proportional to 2,416,088.25 and 5,259,461.63 is: 11,449,058.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416,088.25 : 5,259,461.63 = 5,259,461.63 : x
  2. Step 2: Convert to fraction form
    2,416,088.25/5,259,461.63 = 5,259,461.63/x
  3. Step 3: Cross multiply
    2,416,088.25x = 5,259,461.63 × 5,259,461.63
  4. Step 4: Simplify right side
    2,416,088.25x = 27,661,936,584,847.64
  5. Step 5: Solve for x
    x = 27,661,936,584,847.64/2,416,088.25
  6. Step 6: Final answer
    x = 11,449,058.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.