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Finding the Third Proportional to 8,383,945.50 and 17,963,086.50

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Solution

The third proportional to 8,383,945.50 and 17,963,086.50 is: 38,486,948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383,945.50 : 17,963,086.50 = 17,963,086.50 : x
  2. Step 2: Convert to fraction form
    8,383,945.50/17,963,086.50 = 17,963,086.50/x
  3. Step 3: Cross multiply
    8,383,945.50x = 17,963,086.50 × 17,963,086.50
  4. Step 4: Simplify right side
    8,383,945.50x = 322,672,476,606,482.25
  5. Step 5: Solve for x
    x = 322,672,476,606,482.25/8,383,945.50
  6. Step 6: Final answer
    x = 38,486,948.25

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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.