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Finding the Third Proportional to 3,850,528,584 and 8,439,228,732

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Solution

The third proportional to 3,850,528,584 and 8,439,228,732 is: 18,496,312,918.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850,528,584 : 8,439,228,732 = 8,439,228,732 : x
  2. Step 2: Convert to fraction form
    3,850,528,584/8,439,228,732 = 8,439,228,732/x
  3. Step 3: Cross multiply
    3,850,528,584x = 8,439,228,732 × 8,439,228,732
  4. Step 4: Simplify right side
    3,850,528,584x = 71,220,581,591,014,326,272
  5. Step 5: Solve for x
    x = 71,220,581,591,014,326,272/3,850,528,584
  6. Step 6: Final answer
    x = 18,496,312,918.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.