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Finding the Third Proportional to 6,591,633 and 14,440,020

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Solution

The third proportional to 6,591,633 and 14,440,020 is: 31,633,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591,633 : 14,440,020 = 14,440,020 : x
  2. Step 2: Convert to fraction form
    6,591,633/14,440,020 = 14,440,020/x
  3. Step 3: Cross multiply
    6,591,633x = 14,440,020 × 14,440,020
  4. Step 4: Simplify right side
    6,591,633x = 208,514,177,600,400
  5. Step 5: Solve for x
    x = 208,514,177,600,400/6,591,633
  6. Step 6: Final answer
    x = 31,633,159.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.