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Finding the Third Proportional to 3,096,153 and 6,994,993.50

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Solution

The third proportional to 3,096,153 and 6,994,993.50 is: 15,803,461.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096,153 : 6,994,993.50 = 6,994,993.50 : x
  2. Step 2: Convert to fraction form
    3,096,153/6,994,993.50 = 6,994,993.50/x
  3. Step 3: Cross multiply
    3,096,153x = 6,994,993.50 × 6,994,993.50
  4. Step 4: Simplify right side
    3,096,153x = 48,929,934,065,042.25
  5. Step 5: Solve for x
    x = 48,929,934,065,042.25/3,096,153
  6. Step 6: Final answer
    x = 15,803,461.28

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.