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Finding the Third Proportional to 7,674,538.50 and 16,626,250.13

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Solution

The third proportional to 7,674,538.50 and 16,626,250.13 is: 36,019,389.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674,538.50 : 16,626,250.13 = 16,626,250.13 : x
  2. Step 2: Convert to fraction form
    7,674,538.50/16,626,250.13 = 16,626,250.13/x
  3. Step 3: Cross multiply
    7,674,538.50x = 16,626,250.13 × 16,626,250.13
  4. Step 4: Simplify right side
    7,674,538.50x = 276,432,193,219,062.50
  5. Step 5: Solve for x
    x = 276,432,193,219,062.50/7,674,538.50
  6. Step 6: Final answer
    x = 36,019,389.73

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Why These Related Problems?

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