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Finding the Third Proportional to 3,782,730 and 8,208,465

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Solution

The third proportional to 3,782,730 and 8,208,465 is: 17,812,240.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782,730 : 8,208,465 = 8,208,465 : x
  2. Step 2: Convert to fraction form
    3,782,730/8,208,465 = 8,208,465/x
  3. Step 3: Cross multiply
    3,782,730x = 8,208,465 × 8,208,465
  4. Step 4: Simplify right side
    3,782,730x = 67,378,897,656,225
  5. Step 5: Solve for x
    x = 67,378,897,656,225/3,782,730
  6. Step 6: Final answer
    x = 17,812,240.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.