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Finding the Third Proportional to 6,816,589 and 14,590,598

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Solution

The third proportional to 6,816,589 and 14,590,598 is: 31,230,509.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816,589 : 14,590,598 = 14,590,598 : x
  2. Step 2: Convert to fraction form
    6,816,589/14,590,598 = 14,590,598/x
  3. Step 3: Cross multiply
    6,816,589x = 14,590,598 × 14,590,598
  4. Step 4: Simplify right side
    6,816,589x = 212,885,549,997,604
  5. Step 5: Solve for x
    x = 212,885,549,997,604/6,816,589
  6. Step 6: Final answer
    x = 31,230,509.86

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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.