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Finding the Third Proportional to 2,966,008.50 and 6,475,689

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Solution

The third proportional to 2,966,008.50 and 6,475,689 is: 14,138,377.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966,008.50 : 6,475,689 = 6,475,689 : x
  2. Step 2: Convert to fraction form
    2,966,008.50/6,475,689 = 6,475,689/x
  3. Step 3: Cross multiply
    2,966,008.50x = 6,475,689 × 6,475,689
  4. Step 4: Simplify right side
    2,966,008.50x = 41,934,548,024,721
  5. Step 5: Solve for x
    x = 41,934,548,024,721/2,966,008.50
  6. Step 6: Final answer
    x = 14,138,377.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.