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Finding the Third Proportional to 3,860,705.25 and 8,393,710.50

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Solution

The third proportional to 3,860,705.25 and 8,393,710.50 is: 18,249,094.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860,705.25 : 8,393,710.50 = 8,393,710.50 : x
  2. Step 2: Convert to fraction form
    3,860,705.25/8,393,710.50 = 8,393,710.50/x
  3. Step 3: Cross multiply
    3,860,705.25x = 8,393,710.50 × 8,393,710.50
  4. Step 4: Simplify right side
    3,860,705.25x = 70,454,375,957,810.25
  5. Step 5: Solve for x
    x = 70,454,375,957,810.25/3,860,705.25
  6. Step 6: Final answer
    x = 18,249,094.76

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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.