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Finding the Third Proportional to 4,510,975.13 and 10,525,971.94

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Solution

The third proportional to 4,510,975.13 and 10,525,971.94 is: 24,561,448.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510,975.13 : 10,525,971.94 = 10,525,971.94 : x
  2. Step 2: Convert to fraction form
    4,510,975.13/10,525,971.94 = 10,525,971.94/x
  3. Step 3: Cross multiply
    4,510,975.13x = 10,525,971.94 × 10,525,971.94
  4. Step 4: Simplify right side
    4,510,975.13x = 110,796,085,229,037.50
  5. Step 5: Solve for x
    x = 110,796,085,229,037.50/4,510,975.13
  6. Step 6: Final answer
    x = 24,561,448.95

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Why These Related Problems?

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