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Finding the Third Proportional to 6,029,511.75 and 12,934,306.13

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Solution

The third proportional to 6,029,511.75 and 12,934,306.13 is: 27,746,239.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029,511.75 : 12,934,306.13 = 12,934,306.13 : x
  2. Step 2: Convert to fraction form
    6,029,511.75/12,934,306.13 = 12,934,306.13/x
  3. Step 3: Cross multiply
    6,029,511.75x = 12,934,306.13 × 12,934,306.13
  4. Step 4: Simplify right side
    6,029,511.75x = 167,296,274,935,212.50
  5. Step 5: Solve for x
    x = 167,296,274,935,212.50/6,029,511.75
  6. Step 6: Final answer
    x = 27,746,239.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.