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Finding the Third Proportional to 10,299,716 and 15,582,086

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Solution

The third proportional to 10,299,716 and 15,582,086 is: 23,573,601.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299,716 : 15,582,086 = 15,582,086 : x
  2. Step 2: Convert to fraction form
    10,299,716/15,582,086 = 15,582,086/x
  3. Step 3: Cross multiply
    10,299,716x = 15,582,086 × 15,582,086
  4. Step 4: Simplify right side
    10,299,716x = 242,801,404,111,396
  5. Step 5: Solve for x
    x = 242,801,404,111,396/10,299,716
  6. Step 6: Final answer
    x = 23,573,601.85

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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.