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Finding the Third Proportional to 3,046,059 and 6,689,911.50

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Solution

The third proportional to 3,046,059 and 6,689,911.50 is: 14,692,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046,059 : 6,689,911.50 = 6,689,911.50 : x
  2. Step 2: Convert to fraction form
    3,046,059/6,689,911.50 = 6,689,911.50/x
  3. Step 3: Cross multiply
    3,046,059x = 6,689,911.50 × 6,689,911.50
  4. Step 4: Simplify right side
    3,046,059x = 44,754,915,877,832.25
  5. Step 5: Solve for x
    x = 44,754,915,877,832.25/3,046,059
  6. Step 6: Final answer
    x = 14,692,727.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.