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Finding the Third Proportional to 6,825,278 and 10,310,502

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Solution

The third proportional to 6,825,278 and 10,310,502 is: 15,575,402.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825,278 : 10,310,502 = 10,310,502 : x
  2. Step 2: Convert to fraction form
    6,825,278/10,310,502 = 10,310,502/x
  3. Step 3: Cross multiply
    6,825,278x = 10,310,502 × 10,310,502
  4. Step 4: Simplify right side
    6,825,278x = 106,306,451,492,004
  5. Step 5: Solve for x
    x = 106,306,451,492,004/6,825,278
  6. Step 6: Final answer
    x = 15,575,402.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.