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Finding the Third Proportional to 10,500,489 and 15,751,014

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Solution

The third proportional to 10,500,489 and 15,751,014 is: 23,626,941.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500,489 : 15,751,014 = 15,751,014 : x
  2. Step 2: Convert to fraction form
    10,500,489/15,751,014 = 15,751,014/x
  3. Step 3: Cross multiply
    10,500,489x = 15,751,014 × 15,751,014
  4. Step 4: Simplify right side
    10,500,489x = 248,094,442,028,196
  5. Step 5: Solve for x
    x = 248,094,442,028,196/10,500,489
  6. Step 6: Final answer
    x = 23,626,941.76

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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.