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Finding the Third Proportional to 6,830,892 and 14,674,822

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Solution

The third proportional to 6,830,892 and 14,674,822 is: 31,525,956.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,830,892 : 14,674,822 = 14,674,822 : x
  2. Step 2: Convert to fraction form
    6,830,892/14,674,822 = 14,674,822/x
  3. Step 3: Cross multiply
    6,830,892x = 14,674,822 × 14,674,822
  4. Step 4: Simplify right side
    6,830,892x = 215,350,400,731,684
  5. Step 5: Solve for x
    x = 215,350,400,731,684/6,830,892
  6. Step 6: Final answer
    x = 31,525,956.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.