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Finding the Third Proportional to 21,841,962.75 and 47,496,231

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Solution

The third proportional to 21,841,962.75 and 47,496,231 is: 103,282,474.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,841,962.75 : 47,496,231 = 47,496,231 : x
  2. Step 2: Convert to fraction form
    21,841,962.75/47,496,231 = 47,496,231/x
  3. Step 3: Cross multiply
    21,841,962.75x = 47,496,231 × 47,496,231
  4. Step 4: Simplify right side
    21,841,962.75x = 2,255,891,959,205,361
  5. Step 5: Solve for x
    x = 2,255,891,959,205,361/21,841,962.75
  6. Step 6: Final answer
    x = 103,282,474.43

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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.