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Finding the Third Proportional to 14,388,241,020 and 21,582,361,524

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Solution

The third proportional to 14,388,241,020 and 21,582,361,524 is: 32,373,542,277

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,388,241,020 : 21,582,361,524 = 21,582,361,524 : x
  2. Step 2: Convert to fraction form
    14,388,241,020/21,582,361,524 = 21,582,361,524/x
  3. Step 3: Cross multiply
    14,388,241,020x = 21,582,361,524 × 21,582,361,524
  4. Step 4: Simplify right side
    14,388,241,020x = 465,798,328,952,635,588,608
  5. Step 5: Solve for x
    x = 465,798,328,952,635,588,608/14,388,241,020
  6. Step 6: Final answer
    x = 32,373,542,277

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.