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Finding the Third Proportional to 8,243,382 and 17,621,221.50

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Solution

The third proportional to 8,243,382 and 17,621,221.50 is: 37,667,482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243,382 : 17,621,221.50 = 17,621,221.50 : x
  2. Step 2: Convert to fraction form
    8,243,382/17,621,221.50 = 17,621,221.50/x
  3. Step 3: Cross multiply
    8,243,382x = 17,621,221.50 × 17,621,221.50
  4. Step 4: Simplify right side
    8,243,382x = 310,507,447,152,062.25
  5. Step 5: Solve for x
    x = 310,507,447,152,062.25/8,243,382
  6. Step 6: Final answer
    x = 37,667,482.49

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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.