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Finding the Third Proportional to 8,972,036 and 19,681,096

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Solution

The third proportional to 8,972,036 and 19,681,096 is: 43,172,535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972,036 : 19,681,096 = 19,681,096 : x
  2. Step 2: Convert to fraction form
    8,972,036/19,681,096 = 19,681,096/x
  3. Step 3: Cross multiply
    8,972,036x = 19,681,096 × 19,681,096
  4. Step 4: Simplify right side
    8,972,036x = 387,345,539,761,216
  5. Step 5: Solve for x
    x = 387,345,539,761,216/8,972,036
  6. Step 6: Final answer
    x = 43,172,535.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.