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Finding the Third Proportional to 3,205,306,802 and 6,962,388,970

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Solution

The third proportional to 3,205,306,802 and 6,962,388,970 is: 15,123,313,668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205,306,802 : 6,962,388,970 = 6,962,388,970 : x
  2. Step 2: Convert to fraction form
    3,205,306,802/6,962,388,970 = 6,962,388,970/x
  3. Step 3: Cross multiply
    3,205,306,802x = 6,962,388,970 × 6,962,388,970
  4. Step 4: Simplify right side
    3,205,306,802x = 48,474,860,169,577,660,416
  5. Step 5: Solve for x
    x = 48,474,860,169,577,660,416/3,205,306,802
  6. Step 6: Final answer
    x = 15,123,313,668.24

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