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Finding the Third Proportional to 10,402,438 and 13,802,922

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Solution

The third proportional to 10,402,438 and 13,802,922 is: 18,315,000.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402,438 : 13,802,922 = 13,802,922 : x
  2. Step 2: Convert to fraction form
    10,402,438/13,802,922 = 13,802,922/x
  3. Step 3: Cross multiply
    10,402,438x = 13,802,922 × 13,802,922
  4. Step 4: Simplify right side
    10,402,438x = 190,520,655,738,084
  5. Step 5: Solve for x
    x = 190,520,655,738,084/10,402,438
  6. Step 6: Final answer
    x = 18,315,000.36

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.