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Finding the Third Proportional to 9,582,672 and 14,359,248

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Solution

The third proportional to 9,582,672 and 14,359,248 is: 21,516,754.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582,672 : 14,359,248 = 14,359,248 : x
  2. Step 2: Convert to fraction form
    9,582,672/14,359,248 = 14,359,248/x
  3. Step 3: Cross multiply
    9,582,672x = 14,359,248 × 14,359,248
  4. Step 4: Simplify right side
    9,582,672x = 206,188,003,125,504
  5. Step 5: Solve for x
    x = 206,188,003,125,504/9,582,672
  6. Step 6: Final answer
    x = 21,516,754.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.