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Finding the Third Proportional to 5,634,720 and 11,736,352

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Solution

The third proportional to 5,634,720 and 11,736,352 is: 24,445,217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634,720 : 11,736,352 = 11,736,352 : x
  2. Step 2: Convert to fraction form
    5,634,720/11,736,352 = 11,736,352/x
  3. Step 3: Cross multiply
    5,634,720x = 11,736,352 × 11,736,352
  4. Step 4: Simplify right side
    5,634,720x = 137,741,958,267,904
  5. Step 5: Solve for x
    x = 137,741,958,267,904/5,634,720
  6. Step 6: Final answer
    x = 24,445,217.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.