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Finding the Third Proportional to 6,315,669.14 and 13,703,306.20

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Solution

The third proportional to 6,315,669.14 and 13,703,306.20 is: 29,732,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315,669.14 : 13,703,306.20 = 13,703,306.20 : x
  2. Step 2: Convert to fraction form
    6,315,669.14/13,703,306.20 = 13,703,306.20/x
  3. Step 3: Cross multiply
    6,315,669.14x = 13,703,306.20 × 13,703,306.20
  4. Step 4: Simplify right side
    6,315,669.14x = 187,780,600,896,604.09
  5. Step 5: Solve for x
    x = 187,780,600,896,604.09/6,315,669.14
  6. Step 6: Final answer
    x = 29,732,494.96

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