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Finding the Third Proportional to 5,214,071 and 7,634,451

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Solution

The third proportional to 5,214,071 and 7,634,451 is: 11,178,375.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214,071 : 7,634,451 = 7,634,451 : x
  2. Step 2: Convert to fraction form
    5,214,071/7,634,451 = 7,634,451/x
  3. Step 3: Cross multiply
    5,214,071x = 7,634,451 × 7,634,451
  4. Step 4: Simplify right side
    5,214,071x = 58,284,842,071,401
  5. Step 5: Solve for x
    x = 58,284,842,071,401/5,214,071
  6. Step 6: Final answer
    x = 11,178,375.22

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.