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Finding the Third Proportional to 7,432,821 and 10,825,659

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Solution

The third proportional to 7,432,821 and 10,825,659 is: 15,767,215.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432,821 : 10,825,659 = 10,825,659 : x
  2. Step 2: Convert to fraction form
    7,432,821/10,825,659 = 10,825,659/x
  3. Step 3: Cross multiply
    7,432,821x = 10,825,659 × 10,825,659
  4. Step 4: Simplify right side
    7,432,821x = 117,194,892,784,281
  5. Step 5: Solve for x
    x = 117,194,892,784,281/7,432,821
  6. Step 6: Final answer
    x = 15,767,215.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.