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Finding the Third Proportional to 6,828,247 and 14,715,110

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Solution

The third proportional to 6,828,247 and 14,715,110 is: 31,711,574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828,247 : 14,715,110 = 14,715,110 : x
  2. Step 2: Convert to fraction form
    6,828,247/14,715,110 = 14,715,110/x
  3. Step 3: Cross multiply
    6,828,247x = 14,715,110 × 14,715,110
  4. Step 4: Simplify right side
    6,828,247x = 216,534,462,312,100
  5. Step 5: Solve for x
    x = 216,534,462,312,100/6,828,247
  6. Step 6: Final answer
    x = 31,711,574.33

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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.