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Finding the Third Proportional to 6,724,851 and 14,592,822

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Solution

The third proportional to 6,724,851 and 14,592,822 is: 31,666,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724,851 : 14,592,822 = 14,592,822 : x
  2. Step 2: Convert to fraction form
    6,724,851/14,592,822 = 14,592,822/x
  3. Step 3: Cross multiply
    6,724,851x = 14,592,822 × 14,592,822
  4. Step 4: Simplify right side
    6,724,851x = 212,950,453,923,684
  5. Step 5: Solve for x
    x = 212,950,453,923,684/6,724,851
  6. Step 6: Final answer
    x = 31,666,196.61

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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.