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Finding the Third Proportional to 6,914,476 and 14,936,814

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Solution

The third proportional to 6,914,476 and 14,936,814 is: 32,266,857.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914,476 : 14,936,814 = 14,936,814 : x
  2. Step 2: Convert to fraction form
    6,914,476/14,936,814 = 14,936,814/x
  3. Step 3: Cross multiply
    6,914,476x = 14,936,814 × 14,936,814
  4. Step 4: Simplify right side
    6,914,476x = 223,108,412,470,596
  5. Step 5: Solve for x
    x = 223,108,412,470,596/6,914,476
  6. Step 6: Final answer
    x = 32,266,857.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.