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Finding the Third Proportional to 30,544,812 and 65,869,317

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Solution

The third proportional to 30,544,812 and 65,869,317 is: 142,045,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,544,812 : 65,869,317 = 65,869,317 : x
  2. Step 2: Convert to fraction form
    30,544,812/65,869,317 = 65,869,317/x
  3. Step 3: Cross multiply
    30,544,812x = 65,869,317 × 65,869,317
  4. Step 4: Simplify right side
    30,544,812x = 4,338,766,922,046,489
  5. Step 5: Solve for x
    x = 4,338,766,922,046,489/30,544,812
  6. Step 6: Final answer
    x = 142,045,952.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.