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Finding the Third Proportional to 6,555,747 and 14,306,982

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Solution

The third proportional to 6,555,747 and 14,306,982 is: 31,222,945.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555,747 : 14,306,982 = 14,306,982 : x
  2. Step 2: Convert to fraction form
    6,555,747/14,306,982 = 14,306,982/x
  3. Step 3: Cross multiply
    6,555,747x = 14,306,982 × 14,306,982
  4. Step 4: Simplify right side
    6,555,747x = 204,689,733,948,324
  5. Step 5: Solve for x
    x = 204,689,733,948,324/6,555,747
  6. Step 6: Final answer
    x = 31,222,945.91

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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.