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Finding the Third Proportional to 46,267,807 and 100,500,452

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Solution

The third proportional to 46,267,807 and 100,500,452 is: 218,301,698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,267,807 : 100,500,452 = 100,500,452 : x
  2. Step 2: Convert to fraction form
    46,267,807/100,500,452 = 100,500,452/x
  3. Step 3: Cross multiply
    46,267,807x = 100,500,452 × 100,500,452
  4. Step 4: Simplify right side
    46,267,807x = 10,100,340,852,204,304
  5. Step 5: Solve for x
    x = 10,100,340,852,204,304/46,267,807
  6. Step 6: Final answer
    x = 218,301,698.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.