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Finding the Third Proportional to 3,562,860,017 and 7,677,484,825

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Solution

The third proportional to 3,562,860,017 and 7,677,484,825 is: 16,543,948,669.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562,860,017 : 7,677,484,825 = 7,677,484,825 : x
  2. Step 2: Convert to fraction form
    3,562,860,017/7,677,484,825 = 7,677,484,825/x
  3. Step 3: Cross multiply
    3,562,860,017x = 7,677,484,825 × 7,677,484,825
  4. Step 4: Simplify right side
    3,562,860,017x = 58,943,773,238,105,284,608
  5. Step 5: Solve for x
    x = 58,943,773,238,105,284,608/3,562,860,017
  6. Step 6: Final answer
    x = 16,543,948,669.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.