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Finding the Third Proportional to 5,306,990 and 11,371,230

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Solution

The third proportional to 5,306,990 and 11,371,230 is: 24,365,011.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306,990 : 11,371,230 = 11,371,230 : x
  2. Step 2: Convert to fraction form
    5,306,990/11,371,230 = 11,371,230/x
  3. Step 3: Cross multiply
    5,306,990x = 11,371,230 × 11,371,230
  4. Step 4: Simplify right side
    5,306,990x = 129,304,871,712,900
  5. Step 5: Solve for x
    x = 129,304,871,712,900/5,306,990
  6. Step 6: Final answer
    x = 24,365,011.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.