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Finding the Third Proportional to 3,034,524.56 and 6,501,882.28

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Solution

The third proportional to 3,034,524.56 and 6,501,882.28 is: 13,931,168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,034,524.56 : 6,501,882.28 = 6,501,882.28 : x
  2. Step 2: Convert to fraction form
    3,034,524.56/6,501,882.28 = 6,501,882.28/x
  3. Step 3: Cross multiply
    3,034,524.56x = 6,501,882.28 × 6,501,882.28
  4. Step 4: Simplify right side
    3,034,524.56x = 42,274,473,199,232.70
  5. Step 5: Solve for x
    x = 42,274,473,199,232.70/3,034,524.56
  6. Step 6: Final answer
    x = 13,931,168.57

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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.