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Finding the Third Proportional to 2,564,676 and 5,573,832

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Solution

The third proportional to 2,564,676 and 5,573,832 is: 12,113,656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,676 : 5,573,832 = 5,573,832 : x
  2. Step 2: Convert to fraction form
    2,564,676/5,573,832 = 5,573,832/x
  3. Step 3: Cross multiply
    2,564,676x = 5,573,832 × 5,573,832
  4. Step 4: Simplify right side
    2,564,676x = 31,067,603,164,224
  5. Step 5: Solve for x
    x = 31,067,603,164,224/2,564,676
  6. Step 6: Final answer
    x = 12,113,656.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.