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Finding the Third Proportional to 5,538,304.13 and 8,381,404.13

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Solution

The third proportional to 5,538,304.13 and 8,381,404.13 is: 12,684,015.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538,304.13 : 8,381,404.13 = 8,381,404.13 : x
  2. Step 2: Convert to fraction form
    5,538,304.13/8,381,404.13 = 8,381,404.13/x
  3. Step 3: Cross multiply
    5,538,304.13x = 8,381,404.13 × 8,381,404.13
  4. Step 4: Simplify right side
    5,538,304.13x = 70,247,935,106,567.02
  5. Step 5: Solve for x
    x = 70,247,935,106,567.02/5,538,304.13
  6. Step 6: Final answer
    x = 12,684,015.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.