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Finding the Third Proportional to 7,877,661.75 and 17,099,788.50

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Solution

The third proportional to 7,877,661.75 and 17,099,788.50 is: 37,117,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877,661.75 : 17,099,788.50 = 17,099,788.50 : x
  2. Step 2: Convert to fraction form
    7,877,661.75/17,099,788.50 = 17,099,788.50/x
  3. Step 3: Cross multiply
    7,877,661.75x = 17,099,788.50 × 17,099,788.50
  4. Step 4: Simplify right side
    7,877,661.75x = 292,402,766,744,732.25
  5. Step 5: Solve for x
    x = 292,402,766,744,732.25/7,877,661.75
  6. Step 6: Final answer
    x = 37,117,964.19

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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.