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Finding the Third Proportional to 9,650,825 and 14,702,366

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Solution

The third proportional to 9,650,825 and 14,702,366 is: 22,398,040.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650,825 : 14,702,366 = 14,702,366 : x
  2. Step 2: Convert to fraction form
    9,650,825/14,702,366 = 14,702,366/x
  3. Step 3: Cross multiply
    9,650,825x = 14,702,366 × 14,702,366
  4. Step 4: Simplify right side
    9,650,825x = 216,159,565,997,956
  5. Step 5: Solve for x
    x = 216,159,565,997,956/9,650,825
  6. Step 6: Final answer
    x = 22,398,040.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.