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Finding the Third Proportional to 4,510,975.88 and 10,525,973.63

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Solution

The third proportional to 4,510,975.88 and 10,525,973.63 is: 24,561,452.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510,975.88 : 10,525,973.63 = 10,525,973.63 : x
  2. Step 2: Convert to fraction form
    4,510,975.88/10,525,973.63 = 10,525,973.63/x
  3. Step 3: Cross multiply
    4,510,975.88x = 10,525,973.63 × 10,525,973.63
  4. Step 4: Simplify right side
    4,510,975.88x = 110,796,120,754,195.64
  5. Step 5: Solve for x
    x = 110,796,120,754,195.64/4,510,975.88
  6. Step 6: Final answer
    x = 24,561,452.74

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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.