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Finding the Third Proportional to 6,339,148.50 and 8,492,374.50

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Solution

The third proportional to 6,339,148.50 and 8,492,374.50 is: 11,376,989.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339,148.50 : 8,492,374.50 = 8,492,374.50 : x
  2. Step 2: Convert to fraction form
    6,339,148.50/8,492,374.50 = 8,492,374.50/x
  3. Step 3: Cross multiply
    6,339,148.50x = 8,492,374.50 × 8,492,374.50
  4. Step 4: Simplify right side
    6,339,148.50x = 72,120,424,648,250.25
  5. Step 5: Solve for x
    x = 72,120,424,648,250.25/6,339,148.50
  6. Step 6: Final answer
    x = 11,376,989.30

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.