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Finding the Third Proportional to 5,108,058 and 7,648,014

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Solution

The third proportional to 5,108,058 and 7,648,014 is: 11,450,950.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108,058 : 7,648,014 = 7,648,014 : x
  2. Step 2: Convert to fraction form
    5,108,058/7,648,014 = 7,648,014/x
  3. Step 3: Cross multiply
    5,108,058x = 7,648,014 × 7,648,014
  4. Step 4: Simplify right side
    5,108,058x = 58,492,118,144,196
  5. Step 5: Solve for x
    x = 58,492,118,144,196/5,108,058
  6. Step 6: Final answer
    x = 11,450,950.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.