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Finding the Third Proportional to 6,695,922 and 14,267,814

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Solution

The third proportional to 6,695,922 and 14,267,814 is: 30,402,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695,922 : 14,267,814 = 14,267,814 : x
  2. Step 2: Convert to fraction form
    6,695,922/14,267,814 = 14,267,814/x
  3. Step 3: Cross multiply
    6,695,922x = 14,267,814 × 14,267,814
  4. Step 4: Simplify right side
    6,695,922x = 203,570,516,338,596
  5. Step 5: Solve for x
    x = 203,570,516,338,596/6,695,922
  6. Step 6: Final answer
    x = 30,402,163.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.