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Finding the Third Proportional to 7,877,698 and 17,099,868

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Solution

The third proportional to 7,877,698 and 17,099,868 is: 37,118,138.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877,698 : 17,099,868 = 17,099,868 : x
  2. Step 2: Convert to fraction form
    7,877,698/17,099,868 = 17,099,868/x
  3. Step 3: Cross multiply
    7,877,698x = 17,099,868 × 17,099,868
  4. Step 4: Simplify right side
    7,877,698x = 292,405,485,617,424
  5. Step 5: Solve for x
    x = 292,405,485,617,424/7,877,698
  6. Step 6: Final answer
    x = 37,118,138.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.