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Finding the Third Proportional to 5,200,698 and 8,084,203

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Solution

The third proportional to 5,200,698 and 8,084,203 is: 12,566,455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200,698 : 8,084,203 = 8,084,203 : x
  2. Step 2: Convert to fraction form
    5,200,698/8,084,203 = 8,084,203/x
  3. Step 3: Cross multiply
    5,200,698x = 8,084,203 × 8,084,203
  4. Step 4: Simplify right side
    5,200,698x = 65,354,338,145,209
  5. Step 5: Solve for x
    x = 65,354,338,145,209/5,200,698
  6. Step 6: Final answer
    x = 12,566,455.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.