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Finding the Third Proportional to 6,814,504 and 14,574,522

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Solution

The third proportional to 6,814,504 and 14,574,522 is: 31,171,262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814,504 : 14,574,522 = 14,574,522 : x
  2. Step 2: Convert to fraction form
    6,814,504/14,574,522 = 14,574,522/x
  3. Step 3: Cross multiply
    6,814,504x = 14,574,522 × 14,574,522
  4. Step 4: Simplify right side
    6,814,504x = 212,416,691,528,484
  5. Step 5: Solve for x
    x = 212,416,691,528,484/6,814,504
  6. Step 6: Final answer
    x = 31,171,262.29

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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.