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Finding the Third Proportional to 4,476,509.50 and 9,591,176.50

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Solution

The third proportional to 4,476,509.50 and 9,591,176.50 is: 20,549,641.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476,509.50 : 9,591,176.50 = 9,591,176.50 : x
  2. Step 2: Convert to fraction form
    4,476,509.50/9,591,176.50 = 9,591,176.50/x
  3. Step 3: Cross multiply
    4,476,509.50x = 9,591,176.50 × 9,591,176.50
  4. Step 4: Simplify right side
    4,476,509.50x = 91,990,666,654,152.25
  5. Step 5: Solve for x
    x = 91,990,666,654,152.25/4,476,509.50
  6. Step 6: Final answer
    x = 20,549,641.78

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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.