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Finding the Third Proportional to 4,510,980.75 and 10,525,984.50

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Solution

The third proportional to 4,510,980.75 and 10,525,984.50 is: 24,561,476.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510,980.75 : 10,525,984.50 = 10,525,984.50 : x
  2. Step 2: Convert to fraction form
    4,510,980.75/10,525,984.50 = 10,525,984.50/x
  3. Step 3: Cross multiply
    4,510,980.75x = 10,525,984.50 × 10,525,984.50
  4. Step 4: Simplify right side
    4,510,980.75x = 110,796,349,694,240.25
  5. Step 5: Solve for x
    x = 110,796,349,694,240.25/4,510,980.75
  6. Step 6: Final answer
    x = 24,561,476.95

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.