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Finding the Third Proportional to 6,317,649 and 9,239,539.50

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Solution

The third proportional to 6,317,649 and 9,239,539.50 is: 13,512,794.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317,649 : 9,239,539.50 = 9,239,539.50 : x
  2. Step 2: Convert to fraction form
    6,317,649/9,239,539.50 = 9,239,539.50/x
  3. Step 3: Cross multiply
    6,317,649x = 9,239,539.50 × 9,239,539.50
  4. Step 4: Simplify right side
    6,317,649x = 85,369,090,172,060.25
  5. Step 5: Solve for x
    x = 85,369,090,172,060.25/6,317,649
  6. Step 6: Final answer
    x = 13,512,794.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.