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Finding the Third Proportional to 10,305,489 and 15,700,005

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Solution

The third proportional to 10,305,489 and 15,700,005 is: 23,918,336.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305,489 : 15,700,005 = 15,700,005 : x
  2. Step 2: Convert to fraction form
    10,305,489/15,700,005 = 15,700,005/x
  3. Step 3: Cross multiply
    10,305,489x = 15,700,005 × 15,700,005
  4. Step 4: Simplify right side
    10,305,489x = 246,490,157,000,025
  5. Step 5: Solve for x
    x = 246,490,157,000,025/10,305,489
  6. Step 6: Final answer
    x = 23,918,336.82

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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.