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Finding the Third Proportional to 6,312,564 and 13,412,456

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Solution

The third proportional to 6,312,564 and 13,412,456 is: 28,497,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312,564 : 13,412,456 = 13,412,456 : x
  2. Step 2: Convert to fraction form
    6,312,564/13,412,456 = 13,412,456/x
  3. Step 3: Cross multiply
    6,312,564x = 13,412,456 × 13,412,456
  4. Step 4: Simplify right side
    6,312,564x = 179,893,975,951,936
  5. Step 5: Solve for x
    x = 179,893,975,951,936/6,312,564
  6. Step 6: Final answer
    x = 28,497,766.67

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.