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Finding the Third Proportional to 3,289,350,306 and 7,181,466,636

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Solution

The third proportional to 3,289,350,306 and 7,181,466,636 is: 15,678,920,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289,350,306 : 7,181,466,636 = 7,181,466,636 : x
  2. Step 2: Convert to fraction form
    3,289,350,306/7,181,466,636 = 7,181,466,636/x
  3. Step 3: Cross multiply
    3,289,350,306x = 7,181,466,636 × 7,181,466,636
  4. Step 4: Simplify right side
    3,289,350,306x = 51,573,463,043,981,156,352
  5. Step 5: Solve for x
    x = 51,573,463,043,981,156,352/3,289,350,306
  6. Step 6: Final answer
    x = 15,678,920,834.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.