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Finding the Third Proportional to 3,746,923.31 and 7,788,370.22

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Solution

The third proportional to 3,746,923.31 and 7,788,370.22 is: 16,188,938.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746,923.31 : 7,788,370.22 = 7,788,370.22 : x
  2. Step 2: Convert to fraction form
    3,746,923.31/7,788,370.22 = 7,788,370.22/x
  3. Step 3: Cross multiply
    3,746,923.31x = 7,788,370.22 × 7,788,370.22
  4. Step 4: Simplify right side
    3,746,923.31x = 60,658,710,664,311.92
  5. Step 5: Solve for x
    x = 60,658,710,664,311.92/3,746,923.31
  6. Step 6: Final answer
    x = 16,188,938.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.