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Finding the Third Proportional to 6,107,940 and 13,426,311

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Solution

The third proportional to 6,107,940 and 13,426,311 is: 29,513,359.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107,940 : 13,426,311 = 13,426,311 : x
  2. Step 2: Convert to fraction form
    6,107,940/13,426,311 = 13,426,311/x
  3. Step 3: Cross multiply
    6,107,940x = 13,426,311 × 13,426,311
  4. Step 4: Simplify right side
    6,107,940x = 180,265,827,068,721
  5. Step 5: Solve for x
    x = 180,265,827,068,721/6,107,940
  6. Step 6: Final answer
    x = 29,513,359.18

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.