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Finding the Third Proportional to 6,640,623 and 14,511,414

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Solution

The third proportional to 6,640,623 and 14,511,414 is: 31,711,051.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640,623 : 14,511,414 = 14,511,414 : x
  2. Step 2: Convert to fraction form
    6,640,623/14,511,414 = 14,511,414/x
  3. Step 3: Cross multiply
    6,640,623x = 14,511,414 × 14,511,414
  4. Step 4: Simplify right side
    6,640,623x = 210,581,136,279,396
  5. Step 5: Solve for x
    x = 210,581,136,279,396/6,640,623
  6. Step 6: Final answer
    x = 31,711,051.25

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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.