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Finding the Third Proportional to 4,624,455 and 9,747,465

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Solution

The third proportional to 4,624,455 and 9,747,465 is: 20,545,788.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,624,455 : 9,747,465 = 9,747,465 : x
  2. Step 2: Convert to fraction form
    4,624,455/9,747,465 = 9,747,465/x
  3. Step 3: Cross multiply
    4,624,455x = 9,747,465 × 9,747,465
  4. Step 4: Simplify right side
    4,624,455x = 95,013,073,926,225
  5. Step 5: Solve for x
    x = 95,013,073,926,225/4,624,455
  6. Step 6: Final answer
    x = 20,545,788.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.