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Finding the Third Proportional to 3,497,013.84 and 7,525,468.88

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Solution

The third proportional to 3,497,013.84 and 7,525,468.88 is: 16,194,583.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497,013.84 : 7,525,468.88 = 7,525,468.88 : x
  2. Step 2: Convert to fraction form
    3,497,013.84/7,525,468.88 = 7,525,468.88/x
  3. Step 3: Cross multiply
    3,497,013.84x = 7,525,468.88 × 7,525,468.88
  4. Step 4: Simplify right side
    3,497,013.84x = 56,632,681,788,593.77
  5. Step 5: Solve for x
    x = 56,632,681,788,593.77/3,497,013.84
  6. Step 6: Final answer
    x = 16,194,583.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.