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Finding the Third Proportional to 19,409,798 and 41,546,169.50

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Solution

The third proportional to 19,409,798 and 41,546,169.50 is: 88,928,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,409,798 : 41,546,169.50 = 41,546,169.50 : x
  2. Step 2: Convert to fraction form
    19,409,798/41,546,169.50 = 41,546,169.50/x
  3. Step 3: Cross multiply
    19,409,798x = 41,546,169.50 × 41,546,169.50
  4. Step 4: Simplify right side
    19,409,798x = 1,726,084,200,122,730.25
  5. Step 5: Solve for x
    x = 1,726,084,200,122,730.25/19,409,798
  6. Step 6: Final answer
    x = 88,928,498.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.