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Finding the Third Proportional to 7,670,091 and 16,403,976

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Solution

The third proportional to 7,670,091 and 16,403,976 is: 35,083,081.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,670,091 : 16,403,976 = 16,403,976 : x
  2. Step 2: Convert to fraction form
    7,670,091/16,403,976 = 16,403,976/x
  3. Step 3: Cross multiply
    7,670,091x = 16,403,976 × 16,403,976
  4. Step 4: Simplify right side
    7,670,091x = 269,090,428,608,576
  5. Step 5: Solve for x
    x = 269,090,428,608,576/7,670,091
  6. Step 6: Final answer
    x = 35,083,081.62

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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.