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Finding the Third Proportional to 34,722,873 and 51,124,999.50

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Solution

The third proportional to 34,722,873 and 51,124,999.50 is: 75,275,037.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,722,873 : 51,124,999.50 = 51,124,999.50 : x
  2. Step 2: Convert to fraction form
    34,722,873/51,124,999.50 = 51,124,999.50/x
  3. Step 3: Cross multiply
    34,722,873x = 51,124,999.50 × 51,124,999.50
  4. Step 4: Simplify right side
    34,722,873x = 2,613,765,573,875,000
  5. Step 5: Solve for x
    x = 2,613,765,573,875,000/34,722,873
  6. Step 6: Final answer
    x = 75,275,037.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.