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Finding the Third Proportional to 7,600,196.25 and 16,381,365.75

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Solution

The third proportional to 7,600,196.25 and 16,381,365.75 is: 35,308,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,600,196.25 : 16,381,365.75 = 16,381,365.75 : x
  2. Step 2: Convert to fraction form
    7,600,196.25/16,381,365.75 = 16,381,365.75/x
  3. Step 3: Cross multiply
    7,600,196.25x = 16,381,365.75 × 16,381,365.75
  4. Step 4: Simplify right side
    7,600,196.25x = 268,349,143,835,273.06
  5. Step 5: Solve for x
    x = 268,349,143,835,273.06/7,600,196.25
  6. Step 6: Final answer
    x = 35,308,186.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.