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Finding the Third Proportional to 5,330,914 and 7,597,623

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Solution

The third proportional to 5,330,914 and 7,597,623 is: 10,828,138.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,330,914 : 7,597,623 = 7,597,623 : x
  2. Step 2: Convert to fraction form
    5,330,914/7,597,623 = 7,597,623/x
  3. Step 3: Cross multiply
    5,330,914x = 7,597,623 × 7,597,623
  4. Step 4: Simplify right side
    5,330,914x = 57,723,875,250,129
  5. Step 5: Solve for x
    x = 57,723,875,250,129/5,330,914
  6. Step 6: Final answer
    x = 10,828,138.52

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.