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Finding the Third Proportional to 3,139,690.50 and 6,781,257

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Solution

The third proportional to 3,139,690.50 and 6,781,257 is: 14,646,490.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139,690.50 : 6,781,257 = 6,781,257 : x
  2. Step 2: Convert to fraction form
    3,139,690.50/6,781,257 = 6,781,257/x
  3. Step 3: Cross multiply
    3,139,690.50x = 6,781,257 × 6,781,257
  4. Step 4: Simplify right side
    3,139,690.50x = 45,985,446,500,049
  5. Step 5: Solve for x
    x = 45,985,446,500,049/3,139,690.50
  6. Step 6: Final answer
    x = 14,646,490.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.