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Finding the Third Proportional to 501,614,059.50 and 1,048,965,261.75

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Solution

The third proportional to 501,614,059.50 and 1,048,965,261.75 is: 2,193,575,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,614,059.50 : 1,048,965,261.75 = 1,048,965,261.75 : x
  2. Step 2: Convert to fraction form
    501,614,059.50/1,048,965,261.75 = 1,048,965,261.75/x
  3. Step 3: Cross multiply
    501,614,059.50x = 1,048,965,261.75 × 1,048,965,261.75
  4. Step 4: Simplify right side
    501,614,059.50x = 1,100,328,120,358,246,016
  5. Step 5: Solve for x
    x = 1,100,328,120,358,246,016/501,614,059.50
  6. Step 6: Final answer
    x = 2,193,575,119.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.